Solutions for nonlinear elliptic equations with general weight in the Sobolev-Hardy space

Zhang, Yimin; Yang, Jun; Shen, Yaotian

doi:10.1090/S0002-9939-2010-10468-9

Solutions for nonlinear elliptic equations with general weight in the Sobolev-Hardy space
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by Yimin Zhang, Jun Yang and Yaotian Shen

Proc. Amer. Math. Soc. 139 (2011), 219-230

DOI: https://doi.org/10.1090/S0002-9939-2010-10468-9

Published electronically: July 8, 2010

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Abstract:

In this paper we apply Morse theory to study the existence of nontrivial solutions for nonlinear elliptic equations with general weight and Hardy potential in the Sobolev-Hardy space.

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