We prove the existence of a nontrivial solution for a nonlinear elliptic problem -Δu=μu+a(x) g(u) with Dirichlet boundary condition on a bounded domain, wheregis superlinear both at zero and at infinity,a(x) changes sign andμ>0. © 1998 Academic Press.
Ramos, M., Terracini, S., Troestler, C. (1998). Superlinear Indefinite Elliptic Problems and Pohoz′aev Type Identities. JOURNAL OF FUNCTIONAL ANALYSIS, 159(2), 596-628 [10.1006/jfan.1998.3332].
Superlinear Indefinite Elliptic Problems and Pohoz′aev Type Identities
TERRACINI, SUSANNA;
1998
Abstract
We prove the existence of a nontrivial solution for a nonlinear elliptic problem -Δu=μu+a(x) g(u) with Dirichlet boundary condition on a bounded domain, wheregis superlinear both at zero and at infinity,a(x) changes sign andμ>0. © 1998 Academic Press.
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