PORTUGALIAE MATHEMATICA Vol. 51, No. 2, pp. 219229 (1994) 

A Multiplicity Result for a Class of Superlinear Elliptic ProblemsAnna Maria Micheletti and Angela PistoiaAbstract: We prove the existence of at least two solutions for a superlinear problem $ \Delta u = \Phi(x, u) + \tau\,e_1$ ($u \in H^1_0(\Omega)$) and $e_1$ is the first eigenvector of $(\Delta, H^1_0(\Omega))$, when $\tau$ is large enough, if $\Phi \in C(\R , \R )$ and $\Phi (x, s) = g(x, s) + h(x, s)$ where $h$ is a superlinear nonlinearity with a suitable growth at $+ \infty$ and $g$ is asymptotically linear. Full text of the article:
Electronic version published on: 29 Mar 2001. This page was last modified: 27 Nov 2007.
© 1994 Sociedade Portuguesa de Matemática
