On a singular elliptic system at resonance. (English) Zbl 1189.35075
Summary: This paper is devoted to the study of an elliptic system with singular coefficients. Existence and multiplicity results at resonance are obtained via variational methods.
MSC:
| 35J47 | Second-order elliptic systems |
| 35J20 | Variational methods for second-order elliptic equations |
| 35J60 | Nonlinear elliptic equations |
| 35B33 | Critical exponents in context of PDEs |
| 35J57 | Boundary value problems for second-order elliptic systems |
| 35J50 | Variational methods for elliptic systems |
Keywords:
Brézis-Nirenberg problem; singular coefficients; elliptic system at resonance; variational methodsReferences:
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