Multiplicity of solutions for Neumann problems for semilinear elliptic equations. (English) Zbl 1472.35191

An, Yu-Cheng; Suo, Hong-Min

Abstr. Appl. Anal. 2014, Article ID 360581, 11 p. (2014).

Summary: Using the minimax methods in critical point theory, we study the multiplicity of solutions for a class of Neumann problems in the case near resonance. The results improve and generalize some of the corresponding existing results.

MSC:

35J91	Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian
35J25	Boundary value problems for second-order elliptic equations
35A01	Existence problems for PDEs: global existence, local existence, non-existence

Keywords:

semilinear equation with Laplacian; Neumann condition; multiplicity

References:

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