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

2021/01/01 by Singh, Gurpreet
#35A15 #35B20 #35Q40 #35Q75 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2101.00222

Abstract

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.

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