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ArticleOriginal scientific text

Title

On a semilinear elliptic eigenvalue problem

Authors 1

Affiliations

  1. Dipartimento di Matematica, Università di Bari, via Orabona 4, 70125 Bari, Italy

Abstract

We obtain a description of the spectrum and estimates for generalized positive solutions of -Δu = λ(f(x) + h(u)) in Ω, u∣∂Ω=0, where f(x) and h(u) satisfy minimal regularity assumptions.

Keywords

ENG
semilinear elliptic equations, nonlinear boundary-value problems, positive solutions, supersolution and subsolution method

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Annales Polonici Mathematici
1997/67/3
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Pages:
289-295
Main language of publication
English
Received
1996-10-17
Accepted
1997-02-24
Published
1997
Exact and natural sciences