## Advances in Differential Equations

### The critical Neumann problem for semilinear elliptic equations with the Hardy potential

J. Chabrowski

#### Abstract

We investigate the solvability of the Neumann problem (1.1) involving the critical Sobolev nonlinearity with an indefinite weight function and the Hardy potential. We prove that there exists $\lambda^*>0$ such that for $\lambda \in (0,\lambda^*)$, problem (1.1) admits at least two distinct solutions.

#### Article information

Source
Adv. Differential Equations, Volume 13, Number 3-4 (2008), 323-348.

Dates
First available in Project Euclid: 18 December 2012

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