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Mathematics

Combined Effects of Concave and Convex Nonlinearities in Some Elliptic Problems

A. Ambrosetti, H. Brezis, G. Cerami

1994.6.1JOURNAL OF FUNCTIONAL ANALYSIS

DOI: 10.1006/jfan.1994.1078

tlooto Summary

This 1994 paper explores existence and multiplicity results for semilinear elliptic Dirichlet boundary value problems with combined concave and convex nonlinearities.

Abstract

Abstract This paper deals with a class of semilinear elliptic Dirichlet boundary value problems where the combined effects of a sublinear and a superlinear term allow us to establish some existence and multiplicity results.

Citation format

AMBROSETTI, A.; BREZIS, H.; CERAMI, G. Combined effects of concave and convex nonlinearities in some elliptic problems. JOURNAL OF FUNCTIONAL ANALYSIS, 1994, 122: 519–543.