Positive solution of asymptotically linear elliptic eigenvalue problems for certain differential equations of the fourth order
Jan Bochenek (1985)
Annales Polonici Mathematici
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Displaying similar documents to “Positive solutions of an asymptotically planar system of elliptic boundary value problems.”
Positive solution of asymptotically linear elliptic eigenvalue problems for certain differential equations of the fourth order
On a nonlinear elliptic system: resonance and bifurcation cases
Mario Zuluaga Uribe (1999)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we consider an elliptic system at resonance and bifurcation type with zero Dirichlet condition. We use a Lyapunov-Schmidt approach and we will give applications to Biharmonic Equations.
Nonlinear eigenvalues and bifurcation problems for Pucci's operators
Jérôme Busca, Maria J. Esteban, Alexander Quaas (2005)
Annales de l'I.H.P. Analyse non linéaire
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Existence results for classes of -Laplacian semipositone equations.
Oruganti, Shobha, Shivaji, R. (2006)
Boundary Value Problems [electronic only]
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Multiplicity of positive solutions to semilinear elliptic boundary value problems.
Umezu, Kenichiro (1999)
Abstract and Applied Analysis
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Super and subsolutions for elliptic equations on all of .
Afrouzi, G. A., Ghasemzadeh, H. (2002)
International Journal of Mathematics and Mathematical Sciences
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Multiple solutions of some asymptotically linear elliptic boundary value problems
Hess, P.
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Bifurcation for nonlinear elliptic boundary value problems I.
Kazuaki Taira (1996)
Collectanea Mathematica
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This paper is devoted to local static bifurcation theory for a class of degenerate boundary value problems for nonlinear second-order elliptic differential operators. The purpose of this paper is twofold. The first purpose is to prove that the first eigenvalue of the linearized boundary value problem is simple and its associated eigenfunction is positive. The second purpose is to discuss the changes that occur in the structure of the solutions as a parameter varies near the first eigenvalue...