Article ID Journal Published Year Pages File Type
8959530 Journal of Mathematical Analysis and Applications 2018 23 Pages PDF
Abstract
In this paper we establish the existence of multiple ordered classical solutions for Neumann semilinear elliptic problems and provide qualitative information about them. No symmetry assumptions are required neither on the nonlinearity nor on the domain. For some results, the growth of the nonlinearity at infinity is arbitrary. We also consider the cases when the nonlinearity is either superlinear or asymptotically linear with strong resonances. Extensive use is made of the Mountain Pass Theorem and Leray-Schauder topological degree.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
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