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Applicable Analysis
An International Journal
Volume 97, 2018 - Issue 10
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Original Articles

Ground solutions for critical quasilinear elliptic equations via Pohožaev manifold method

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Pages 1651-1666 | Received 03 Feb 2017, Accepted 26 Apr 2017, Published online: 09 May 2017
 

Abstract

The paper deals with the following problem:

where is a parameter, and , . Under some certain assumptions on V(x), we establish the existence of ground-state solutions for quasi-linear elliptic equations with Sobolev exponent via the method of Pohožaev manifold, the monotonic trick and global compactness lemma. Some recent results are extended.

AMS Subject Classifications:

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by National Natural Science Foundation of China [11671403], [11671236]; Key Basic Research for Higher Education of Henan Province [17A110019].

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