Positive ground state solutions for a quasilinear elliptic equation with critical exponent (Q524599)
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scientific article; zbMATH DE number 6710722
| Language | Label | Description | Also known as |
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| English | Positive ground state solutions for a quasilinear elliptic equation with critical exponent |
scientific article; zbMATH DE number 6710722 |
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Positive ground state solutions for a quasilinear elliptic equation with critical exponent (English)
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3 May 2017
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This paper is concerned with the mathematical analysis of entire solutions of a class of quasilinear elliptic equation with positive potential and critical Sobolev exponent. The main result establishes the existence of positive ground state solutions. The proof combines a change of variables and related variational arguments. The study carried out in this paper is motivated by models arising in self-channeling of a high-power ultra short laser in matter.
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quasilinear elliptic equations
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positive ground state solutions
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