Two Types of Solutions to a Class of -Laplacian Systems with Critical Sobolev Exponents in

Jing Li and Caisheng Chen

Advances in Mathematical Physics, 2018, vol. 2018, 1-10

Abstract:

We focus on the following elliptic system with critical Sobolev exponents:   ; ; , where , either or , and critical Sobolev exponents and . Conditions on potential functions lead to no compact embedding. Relying on concentration-compactness principle, mountain pass lemma, and genus theory, the existence of solutions to the elliptic system with or will be established.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:6458395

DOI: 10.1155/2018/6458395

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