Radial solutions of a biharmonic equation with vanishing or singular radial potentials

被引：11

作者：

Badiale, Marino ^{[1
]}

Greco, Stefano ^{[1
]}

Rolando, Sergio ^{[2
]}

机构：

[1] Univ Torino, Dipartimento Matemat Giuseppe Peano, Via Carlo Alberto 10, I-10123 Turin, Italy

[2] Univ Milano Bicocca, Dipartimento Matemat & Applicaz, Via Roberto Cozzi 53, I-20125 Milan, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2019年 / 185卷

关键词：

Bi-Laplacian operator; Weighted Sobolev spaces; Compact embeddings; Unbounded or decaying potentials; NONTRIVIAL SOLUTIONS; EXISTENCE; COMPACTNESS;

D O I：

10.1016/j.na.2019.01.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given three measurable functions V (r) >= 0, K (r) > 0 and Q (r) >= 0, r > 0, we consider the bilaplacian equation Delta(2)u + V(vertical bar x vertical bar)u = K(vertical bar x vertical bar)f (u) + Q(vertical bar x vertical bar) in R-N and we find radial solutions thanks to compact embeddings of radial spaces of Sobolev functions into sum of weighted Lebesgue spaces. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页码：97 / 122

页数：26

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