Existence theory for functional \(p\)-Laplacian equations with variable exponents (Q1863454)
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scientific article; zbMATH DE number 1879967
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence theory for functional \(p\)-Laplacian equations with variable exponents |
scientific article; zbMATH DE number 1879967 |
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Existence theory for functional \(p\)-Laplacian equations with variable exponents (English)
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11 March 2003
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The authors consider the solvability of functional \(p\)-Laplacian equations subjected to general boundary conditions, which include as particular cases the Dirichlet and periodic conditions, and also cover a wide class of nonlinear conditions as well a functional ones. The existence of solutions to problems with bounded nonlinear parts is proved. Illustrative examples are presented, too.
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nonlinear functional equations
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Dirichlet and periodic boundary conditions
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existence of solutions
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upper and lower solutions
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