Symmetric positive solutions for nonlinear boundary value problems with ϕ-Laplacian operator

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Abstract

This paper proves the existence, multiplicity, and nonexistence of symmetric positive solutions to nonlinear boundary value problems with Laplacian operator. We improve and generalize some relative results. Our analysis mainly relies on the fixed point theorem of cone expansion and compression of norm type.

Keywords

Boundary value problems
Symmetric positive solutions
Laplacian operator
Fixed point theorem

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This paper was supported by the National Natural Sciences Foundation of China (10871063) and Scientific Research Fund of Hunan Provincial Education Department (07A038).