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arXiv:2101.00222 [math.AP]AbstractReferencesReviewsResources

A study of biharmonic equation involving nonlocal terms and critical Sobolev exponent

Gurpreet Singh

Published 2021-01-01Version 1

In this paper, we investigate the existence of ground state solutions and non-existence of non-trivial weak solution of biharmonic equation with some nonlocal terms and critical Sobolev exponent. Firstly, we prove the non-existence by establishing Pohozaev type of identity. Next, we study the existence of ground state solutions by using the minimization method on the associated Nehari manifold.

Comments: 17 pages
Categories: math.AP
Subjects: 35A15, 35B20, 35Q40, 35Q75
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