Existence of weak solutions for \(p\)-Laplacian problem with impulsive effects (Q390031)
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scientific article; zbMATH DE number 6249068
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of weak solutions for \(p\)-Laplacian problem with impulsive effects |
scientific article; zbMATH DE number 6249068 |
Statements
Existence of weak solutions for \(p\)-Laplacian problem with impulsive effects (English)
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22 January 2014
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A \(p\)-Laplacian Dirichlet boundary value problem with impulsive conditions is discussed. Using the topological degree theory, at least one weak solution is obtained. Furthermore, the authors derive conditions under which the problem has infinitely many weak solutions. The results improve some existing results in the literature.
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impulsive differential equation
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topological degree theory
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critical point theory
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weak solution
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