Multiple solutions for a problem with discontinuous nonlinearity (Q1647878)
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scientific article; zbMATH DE number 6894902
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiple solutions for a problem with discontinuous nonlinearity |
scientific article; zbMATH DE number 6894902 |
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Multiple solutions for a problem with discontinuous nonlinearity (English)
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27 June 2018
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This paper is concerned with the study of a semilinear elliptic problem with Dirichlet boundary condition. A feature of this paper is the presence of a discontinuous reaction term with subcritical growth. The main result establishes a multiplicity property of solutions and the proof is based on the Lusternik-Schnirelmann theory.
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Laplace operator
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semilinear equation
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Lusternik-Schnirelmann theory
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