### Critical superlinear Ambrosetti-Prodi problems

DOI: http://dx.doi.org/10.12775/TMNA.1999.022

#### Abstract

We consider the existence of multiple solutions for problem (1.1) below

with either $\lambda\neq \lambda$ or $\lambda=\lambda_1$, where

$\lambda_k$, $k=1,2,\ldots$ are eigenvalues of $(-\Delta, H^1_0(\Omega))$.

The local bifurcation from $\lambda=\lambda_k$ is also investigated.

with either $\lambda\neq \lambda$ or $\lambda=\lambda_1$, where

$\lambda_k$, $k=1,2,\ldots$ are eigenvalues of $(-\Delta, H^1_0(\Omega))$.

The local bifurcation from $\lambda=\lambda_k$ is also investigated.

#### Keywords

Elliptic differential equations; variational methods; multiplicity of solutions

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