Accession Number : ADA141504

Title :   On Pairs of Positive Solutions for a Class of Semilinear Elliptic Problems.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : DE Figueiredo,D G ; Lions,P L

PDF Url : ADA141504

Report Date : Mar 1984

Pagination or Media Count : 28

Abstract : In this paper the author discuss the Dirichlet problem -delta u = f(u) in omega, u greater than O in omega, u = O on curly d omega under the hypotheses of sublinearity at O and superlinearity at + infinity. The dominating theme throughout the paper is that of a supersolution of (1). They prove theorems on the existence of two solutions whenever problem (1) possesses a supersolution, using topological degree arguments or variational methods according to the type of growth of f at + infinity. Also treated are questions of existence of supersolutions and their actual construction. Schwarz symmetrization techniques are used to obtain supersolutions from solutions of associated symmetrized problems. (Author)

Descriptors :   *Dirichlet integral, *Problem solving, *Ellipses, Theorems, Hypotheses, Symmetry, Topology, Variational methods

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE