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Wu, Yue; Liu, Shibo

Existence and multiplicity of solutions for asymptotically linear Schrödinger-Kirchhoff equations. (English) Zbl 1334.35060

Nonlinear Anal., Real World Appl. 26, 191-198 (2015).
Summary: The purpose of this work is to study a Schrödinger-Kirchhoff equation in \(\mathbb R^3\) with the nonlinearity asymptotically linear and the potential indefinite in sign. By variational methods, we obtain the existence of multiple nontrivial solutions for this problem.

Cited in 17 Documents

MSC:

35J61 Semilinear elliptic equations
35R09 Integro-partial differential equations
35J35 Variational methods for higher-order elliptic equations

Keywords:

Schrödinger-Kirchhoff equations; Palais-Smale condition; local linking; Morse theory
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References:

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