Large solutions of quasilinear elliptic equation of mixed type (Q2927973)
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scientific article; zbMATH DE number 6366089
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Large solutions of quasilinear elliptic equation of mixed type |
scientific article; zbMATH DE number 6366089 |
Statements
5 November 2014
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quasilinear elliptic equation
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large solution
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existence
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non-existence
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sublinear
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superlinear
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Large solutions of quasilinear elliptic equation of mixed type (English)
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The paper deals with the equation NEWLINE\[NEWLINE \Delta_mu=p(x)u^\alpha+q(x)u^\beta\quad \text{in}\;\mathbb{R}^N,\;N\geq 2 NEWLINE\]NEWLINE where \(p\) and \(q\) are nonnegative continuous functions and \(0<\alpha\leq\beta.\) Under suitable hypotheses on \(p(x)\) and \(q(x),\) the authors obtain existence and nonexistence of blow-up solutions both for the superlinear and sublinear cases. Existence and nonexistence of entire bounded solutions are established as well.
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