Remarks on uniqueness results of the first eigenvalue of the p-Laplacian
G. Barles (1988)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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G. Barles (1988)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Thierry Gallouët, Yannick Sire (2011)
Annales de la faculté des sciences de Toulouse Mathématiques
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The goal of this paper is to study some possibly degenerate elliptic equation in a bounded domain with a nonlinear boundary condition involving measure data. We investigate two types of problems: the first one deals with the laplacian in a bounded domain with measure supported on the domain and on the boundary. A second one deals with the same type of data but involves a degenerate weight in the equation. In both cases, the nonlinearity under consideration lies on the boundary. For the...
W. Littman, G. Stampacchia, H. F. Weinberger (1963)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Nicolai V. Krylov (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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 = ...