Existence and nonexistence results for reaction-diffusion equations in product of cones (Q1856354)
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scientific article; zbMATH DE number 1862500
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and nonexistence results for reaction-diffusion equations in product of cones |
scientific article; zbMATH DE number 1862500 |
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Existence and nonexistence results for reaction-diffusion equations in product of cones (English)
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18 May 2003
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The paper discusses problems of existence and nonexistence of global nontrivial solutions to quasilinear evolution differential inequalities in a product of cones. The existence is established by supersolutions' method while the proofs of the nonexistence results are based on the test-function methods of Mitidieri, Pohozhaev, Tesei and Véron.
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nonexistence
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blow-up
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evolution differential inequalities
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supersolutions method
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test-function methods
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