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Radial Nonlinear Elliptic Problems with Singular or Vanishing Potentials by Badiale, Marino; Zaccagni, Federica is a scholarly article available to read on EtoBox.

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In this paper we prove existence of radial solutions for the nonlinear elliptic problem \[ -\mathrm{div}(A(|x|)\nabla u)+V(|x|)u=K(|x|)f(u) \quad \text{in }\mathbb{R}^{N}, \] \noindent with suitable hypotheses on the radial potentials $A,V,K$. We first get compact embeddings of radial weighted Sobolev spaces into sum of weighted Lebesgue spaces, and then we apply standard variational techniques to get existence results.

Author

Badiale, Marino; Zaccagni, Federica

Published

2017

Language

EN