Existence and multiplicity results for a semilinear elliptic eigenvalue problem
Philippe Clément, Guido Sweers (1987)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Philippe Clément, Guido Sweers (1987)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Marcos Montenegro (2000)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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N. Alaa (1996)
Extracta Mathematicae
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The purpose of this note is to study existence of weak solutions for the quasilinear elliptic problem with Dirichlet boundary conditions.
Gong Bao Li (1987)
Revista Matemática Iberoamericana
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In this paper we get the existence results of the nontrivial weak solution (λ,u) of the following eigenvalue problem of quasilinear elliptic systems -Dα (aαβ(x,u) Dβui) + 1/2 Dui aαβ(x,u)Dαuj Dβuj + h(x) ui = ...
Takashi Suzuki (1992)
Annales de l'I.H.P. Analyse non linéaire
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Ould Ahmed-Izid-Bih Isselkou (2001)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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A. Porretta (2005)
Bollettino dell'Unione Matematica Italiana
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We give an expository review of recent results obtained for elliptic equations having natural growth terms of absorption type and singular data. As a new result, we provide an application to the case of lower order terms of subcritical growth, proving a general solvability result with measure data for a class of equations modeled on (1.6).