Found 550 Documents (Results 1–100)
Concentration phenomena for the fractional relativistic Schrödinger-Choquard equation. (English) Zbl 07900930
Non-simple concentrations for nonlinear magnetic Schrödinger equations with constant electric potentials. (English) Zbl 07896602
Morse index of concentrated solutions for the nonlinear Schrödinger equation with a very degenerate potential. (English) Zbl 07877915
Reviewer: Simone Secchi (Milano)
Nonlinear divergence equation with potentials vanishing in some direction at infinity: the exponential critical case. (English) Zbl 1541.35224
Semilinear elliptic problems in \(\mathbb{R}^N\): the interplay between the potential and the nonlinear term. (English) Zbl 1537.35183
Concentration phenomena for a fractional relativistic Schrödinger equation with critical growth. (English) Zbl 1534.35417
Semiclassical solutions for a critical Choquard-Poisson system with competitive potentials. (English) Zbl 1533.35107
Multiple positive and sign-changing solutions for a class of Kirchhoff equations. (English) Zbl 1532.35212
Existence and concentration of solutions to a Choquard equation involving fractional \(p\)-Laplace via penalization method. (English) Zbl 1532.35505
Normalized ground states for the Sobolev critical Schrödinger equation with at least mass critical growth. (English) Zbl 1533.35084
Normalized ground states for Sobolev critical nonlinear Schrödinger equation in the \(L^2\)-supercritical case. (English) Zbl 1529.35164
A deformation theory in augmented spaces and concentration results for NLS equations around local maxima. (English) Zbl 07910311
Candela, Anna Maria (ed.) et al., Recent advances in mathematical analysis. Celebrating the 70th anniversary of Francesco Altomare. Based on the presentations at the international conference, ReDiMA 2021, Bari, Italy, September 23–24, 2021. Cham: Birkhäuser. Trends Math., 309-331 (2023).
Concentration phenomenon for a fractional Schrödinger equation with discontinuous nonlinearity. (English) Zbl 1532.35475
Multiplicity of positive solutions for a Kirchhoff type problem without asymptotic conditions. (English) Zbl 1533.35158
On ground states for the 2D Schrödinger equation with combined nonlinearities and harmonic potential. (English) Zbl 1529.35462
Ground state solutions of Schrödinger-Kirchhoff equations with potentials vanishing at infinity. (English) Zbl 1535.81111
Localization of normalized solutions for saturable nonlinear Schrödinger equations. (English) Zbl 1527.35394
Single-peak solutions for a subcritical Schrödinger equation with non-power nonlinearity. (English) Zbl 1525.35085
Semiclassical states for coupled nonlinear Schrödinger equations with critical frequency. (English) Zbl 1522.35462
The nonlinear \((p,q)\)-Schrödinger equation with a general nonlinearity: existence and concentration. (English. French summary) Zbl 1522.35028
Solutions with multiple peaks for nonlinear Kirchhoff equations on \(\mathbb{R}^3\). (English) Zbl 1522.35030
Semi-classical analysis around local maxima and saddle points for degenerate nonlinear Choquard equations. (English) Zbl 1519.35287
Semiclassical states to the nonlinear Choquard equation with critical growth. (English) Zbl 1519.35139
Concentration phenomenon of semiclassical states to reaction-diffusion systems. (English) Zbl 1520.35004
Reviewer: Fukun Zhao (Kunming)
Semi-classical states for elliptic system near saddle points of potentials. (English) Zbl 1518.35304
On concentration behavior and multiplicity of solutions for a system in \(\mathbb{R}^N\). (English) Zbl 1514.35167
Localized solutions of higher topological type for semiclassical generalized quasilinear Schrödinger equations. (English) Zbl 1512.35200
The existence and local uniqueness of multi-peak solutions to a class of Kirchhoff type equations. (English) Zbl 1524.35194
Multi-peak solutions for coupled nonlinear Schrödinger systems in low dimensions. (English) Zbl 1512.35035
Reviewer: Shuangjie Peng (Wuhan)
Local uniqueness of multi-peak solutions to a class of Schrödinger equations with competing potential. (English) Zbl 1511.35328
Local uniqueness of concentrated solutions and some applications on nonlinear Schrödinger equations with very degenerate potentials. (English) Zbl 1518.35041
Reviewer: Xiaoming He (Beijing)
Infinitely many localized semiclassical states for nonlinear Kirchhoff-type equation. (English) Zbl 1512.35293
Existence and concentration results for the general Kirchhoff-type equations. (English) Zbl 1507.35017
Reviewer: Giovany Malcher Figueiredo (Brasília)
Existence of high energy-positive solutions for a class of elliptic equations in the hyperbolic space. (English) Zbl 1511.35124
Existence of concentrating solutions of the Hartree type Brezis-Nirenberg problem. (English) Zbl 1505.35217
Concentrations for nonlinear Schrödinger equations with magnetic potentials and constant electric potentials. (English) Zbl 1501.35146
Existence of positive solution for a critical system in \((\mathbb{R}^N_+)\). (English) Zbl 1501.35225
Multiple localized nodal solutions of high topological type for Kirchhoff-type equation with double potentials. (English) Zbl 1500.35167
Semiclassical states of fractional Choquard equations with exponential critical growth. (English) Zbl 1498.35601
Existence and concentration of positive solutions to a fractional system with saturable term. (English) Zbl 1498.35241
Semiclassical states for Schrödinger-Poisson system with Hartree-type nonlinearity. (English) Zbl 1498.35223
New type of solutions for the nonlinear Schrödinger equation in \(\mathbb{R}^N\). (English) Zbl 1517.35104
Reviewer: Denis A. White (Toledo)
Ground states for the planar NLSE with a point defect as minimizers of the constrained energy. (English) Zbl 1497.35398
Multiple solutions for singularly perturbed nonlinear magnetic Schrödinger equations. (English) Zbl 1504.35464
Braids of the \(N\)-body problem. II: Carousel solutions by cabling central configurations. (English) Zbl 1513.70043
Existence and local uniqueness of normalized multi-peak solutions to a class of Kirchhoff type equations. (English) Zbl 1490.35162
On existence of multiple normalized solutions to a class of elliptic problems in whole \(\mathbb{R}^N\). (English) Zbl 1490.35176
Multi-peak semiclassical bound states for fractional Schrödinger equations with fast decaying potentials. (English) Zbl 1487.35032
Gluing higher-topological-type semiclassical states for nonlinear Schrödinger equations. (English) Zbl 1486.35158
Normalized solutions of nonlinear Schrödinger equations with potentials and non-autonomous nonlinearities. (English) Zbl 1490.35461
Normalized multi-bump solutions of nonlinear Schrödinger equations via variational approach. (English) Zbl 1491.35406
Semiclassical asymptotics of infinitely many solutions for the infinite case of a nonlinear Schrödinger equation with critical frequency. (English) Zbl 1490.35387
Nodal multi-peak standing waves of fourth-order Schrödinger equations with mixed dispersion. (English) Zbl 1479.35794
Nonstandard solutions for a perturbed nonlinear Schrödinger system with small coupling coefficients. (English) Zbl 07746516
Reviewer: Shuangjie Peng (Wuhan)
Positive solutions for the fractional Schrödinger equations with logarithmic and critical non-linearities. (English) Zbl 1537.35373
On the fractional NLS equation and the effects of the potential Well’s topology. (English) Zbl 1487.35010
Singularly perturbed quasilinear Choquard equations with nonlinearity satisfying Berestycki-Lions assumptions. (English) Zbl 1489.35122
Concentration phenomena for magnetic Kirchhoff equations with critical growth. (English) Zbl 1486.35043
Reviewer: Dumitru Motreanu (Perpignan)
Functional inequalities: nonlinear flows and entropy methods as a tool for obtaining sharp and constructive results. (English) Zbl 1481.35006
Multiplicity and concentration results for local and fractional NLS equations with critical growth. (English) Zbl 1487.35034
Reviewer: Christos Sourdis (Athína)
Existence and concentration of solution for Schrödinger-Poisson system with local potential. (English) Zbl 1479.35055
Existence of solutions for a weakly coupled Schrödinger system with critical growth. (English) Zbl 1480.35169
Uniqueness of positive bound states with multiple bumps for Schrödinger-Poisson system. (English) Zbl 1480.35165
Existence and asymptotic behavior of localized nodal solutions for a class of Kirchhoff-type equations. (English) Zbl 1480.35221
Symmetry and monotonicity of a nonlinear Schrödinger equation involving the fractional Laplacian. (English) Zbl 1479.35279
Quasilinear Schrödinger equations with singular and vanishing potentials involving nonlinearities with critical exponential growth. (English) Zbl 1479.35259
Semiclassical states for critical Choquard equations with critical frequency. (English) Zbl 1479.35405
On Ambrosetti-Malchiodi-Ni conjecture on two-dimensional smooth bounded domains: clustering concentration layers. (English) Zbl 1473.35027
Existence and uniqueness of multi-bump solutions for nonlinear Schrödinger-Poisson systems. (English) Zbl 1473.35207
Multiplicity and concentration of solutions for Kirchhoff equations with magnetic field. (English) Zbl 1475.35137
Reviewer: Calogero Vetro (Palermo)
Mixed concave-convex sub-superlinear Schrödinger equation: survey and development of some new cases. (English) Zbl 1473.35128
Rassias, Themistocles M. (ed.) et al., Nonlinear analysis and global optimization. Cham: Springer. Springer Optim. Appl. 167, 109-162 (2021).
Groundstates and infinitely many high energy solutions to a class of nonlinear Schrödinger-Poisson systems. (English) Zbl 1479.35782
Excited states of Bose-Einstein condensates with degenerate attractive interactions. (English) Zbl 1477.35244
Existence and behavior of positive solutions for a class of quasilinear elliptic problems with discontinuous nonlinearity. (English) Zbl 1473.35273
Existence and nonexistence of solutions for the fractional nonlinear Schrödinger equation. (English) Zbl 1470.35384
Standing waves for a class of fractional \(p\)-Laplacian equations with a general critical nonlinearity. (English) Zbl 1472.35205
Multi-bump standing waves for nonlinear Schrödinger equations with a general nonlinearity: the topological effect of potential wells. (English) Zbl 1472.35110
Semi-classical solutions for Kirchhoff type problem with a critical frequency. (English) Zbl 1465.35219
Concentration phenomena for nonlinear magnetic Schrödinger equations with critical growth. (English) Zbl 1465.35140
Reviewer: Patrick Winkert (Berlin)
MSC:
35J10
Existence and behavior of positive solutions for a class of linearly coupled systems with discontinuous nonlinearities in \(\mathbb{R}^N\). (English) Zbl 1460.35121
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