Entire solutions for a class of elliptic equations involving p-biharmonic operator and Rellich potentials

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:423

Article

Bhakta, Mousomi

关键词: Caffarelli-Kohn-Nirenberg type inequalities;    Weighted p-biharmonic operator;    Rellich inequality;    Dilation invariance;    Breaking symmetry;    Extrernal function;   

DOI  :  10.1016/j.jmaa.2014.10.080

来源: Elsevier

【 摘 要 】

We study existence, multiplicity and qualitative properties of entire solutions for a noncompact problem related to p-biharmonic type equations with weights. More precisely, we deal with the following family of equations Delta(2)(p)u = lambda vertical bar x vertical bar(-2p)vertical bar u vertical bar(p-2)u+vertical bar x vertical bar(-beta)vertical bar u vertical bar(q-2)u in RN, where N > 2p, p > 1, q > p, beta = N - q/p (N - 2p) and lambda is an element of R is smaller than the Rellich constant. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

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