Solutions for quasilinear Schrödinger equations with critical Sobolev-Hardy exponents (Q652017)
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scientific article; zbMATH DE number 5989647
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solutions for quasilinear Schrödinger equations with critical Sobolev-Hardy exponents |
scientific article; zbMATH DE number 5989647 |
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Solutions for quasilinear Schrödinger equations with critical Sobolev-Hardy exponents (English)
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19 December 2011
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This paper deals with the existence of entire solutions for a class of semilinear Schrödinger elliptic equations with critical Hardy-Sobolev exponent. The main result of this paper establishes the existence of a positive standing wave solution. Due to the lack of compactness, this is performed by using the Ambrosetti-Rabinowitz theorem without the Palais-Smale condition.
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critical Sobolev-Hardy exponents
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quasilinear Schrödinger equations
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Orlicz space
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