Radial Nonlinear Elliptic Problems with Singular or Vanishing Potentials

被引：6

作者：

Badiale, Marino ^{[1
]}

Zaccagni, Federica ^{[1
]}

机构：

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

来源：

ADVANCED NONLINEAR STUDIES | 2018年 / 18卷 / 02期

关键词：

Nonlinear Elliptic Equations; Weighted Sobolev Spaces; Compact Embeddings; Unbounded or Decaying Potentials; SCHRODINGER-EQUATIONS; SYMMETRIC-SOLUTIONS; EXISTENCE; MULTIPLICITY; COMPACTNESS;

D O I：

10.1515/ans-2018-0007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the existence of radial solutions for the nonlinear elliptic problem -div(A(vertical bar x vertical bar)del u) + V(vertical bar x vertical bar) u = K(vertical bar x vertical bar) f(u) in R-N, with suitable hypotheses on the radial potentials A, V, K. We first get compact embeddings of radial weighted Sobolev spaces into sums of weighted Lebesgue spaces, and then we apply standard variational techniques to get existence results.

引用

页码：409 / 428

页数：20

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