Existence of a positive solution for a -Laplacian semipositone problem.
Chhetri, Maya, Shivaji, R. (2005)
Boundary Value Problems [electronic only]
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Chhetri, Maya, Shivaji, R. (2005)
Boundary Value Problems [electronic only]
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Martínez, Sandra, Rossi, Julio D. (2002)
Abstract and Applied Analysis
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Oruganti, Shobha, Shi, Junping, Shivaji, Ratnasingham (2004)
Abstract and Applied Analysis
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Castro, Alfonso, Maya, C., Shivaji, R. (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Karim Chaïb (2002)
Publicacions Matemàtiques
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The purpose of this paper is to extend the Díaz-Saá’s inequality for the unbounded domains as RN. The proof is based on the Picone’s identity which is very useful in problems involving p-Laplacian. In a second part, we study some properties of the first eigenvalue for a system of p-Laplacian. We use Díaz-Saá’s inequality to prove uniqueness and Egorov’s theorem for the isolation. These results generalize J. Fleckinger, R. F. Manásevich, N. M. Stavrakakis...
G. Barles (1988)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Lupo, Daniela, Payne, Kevin R. (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Ali, Jaffar, Shivaji, R. (2006)
Abstract and Applied Analysis
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Corrêa, F.J.S.A. (1998)
International Journal of Mathematics and Mathematical Sciences
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Yuji Liu (2011)
Applicationes Mathematicae
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A class of nonlinear boundary value problems for p-Laplacian differential equations is studied. Sufficient conditions for the existence of solutions are established. The nonlinearities are allowed to be superlinear. We do not apply the Green's functions of the relevant problem and the methods of obtaining a priori bounds for solutions are different from known ones. Examples that cannot be covered by known results are given to illustrate our theorems.
El Manouni, Said, Perera, Kanishka (2007)
Boundary Value Problems [electronic only]
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Julián Fernández Bonder, Julio D. Rossi (2002)
Publicacions Matemàtiques
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In this paper we study the Sobolev trace embedding W(Ω) → L (∂Ω), where V is an indefinite weight. This embedding leads to a nonlinear eigenvalue problem where the eigenvalue appears at the (nonlinear) boundary condition. We prove that there exists a sequence of variational eigenvalues λ / +∞ and then show that the first eigenvalue is isolated, simple and monotone with respect to the weight. Then we prove a nonexistence result related to the first eigenvalue and we end...