Isolation and simplicity for the first eigenvalue of the -Laplacian with a nonlinear boundary condition.
Martínez, Sandra, Rossi, Julio D. (2002)
Abstract and Applied Analysis
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Displaying similar documents to “Adaptive finite element analysis based on perturbation arguments”
Isolation and simplicity for the first eigenvalue of the -Laplacian with a nonlinear boundary condition.
A fibering method approach to a system of quasilinear equations with nonlinear boundary conditions
Dimitrios A. Kandilakis, Manolis Magiropoulos (2006)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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We provide an existence result for a system of quasilinear equations subject to nonlinear boundary conditions on a bounded domain by using the fibering method.
Multiple solutions of some asymptotically linear elliptic boundary value problems
Hess, P.
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Positive solutions for systems of nth order three-point nonlocal boundary value problems.
Henderson, J., Ntouyas, S.K. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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On Solvability of a Nonlinear Elliptic Boundary Value Problem
I.G. Stratis (1993)
Publications de l'Institut Mathématique
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Asymptotic behaviour, nodal lines and symmetry properties for solutions of superlinear elliptic equations near an eigenvalue
Dimitri Mugnai (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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We give the precise behaviour of some solutions of a nonlinear elliptic B.V.P. in a bounded domain when a parameter approaches an eigenvalue of the principal part. If the nonlinearity has some regularity and the domain is for example convex, we also prove a nonlinear version of Courant's Nodal theorem.
On semilinear elliptic eigenvalue problem with eigenparameter in the boundary conditions.
Ibrahim, S. F. M. (2002)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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A nonlinear eigenvalue problem with indefinite weights related to the Sobolev trace embedding.
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...
Positive solutions and eigenvalue intervals of a singular third-order boundary value problem
Qingliu Yao (2011)
Annales Polonici Mathematici
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This paper studies positive solutions and eigenvalue intervals of a nonlinear third-order two-point boundary value problem. The nonlinear term is allowed to be singular with respect to both the time and space variables. By constructing a proper cone and applying the Guo-Krasnosel'skii fixed point theorem, the eigenvalue intervals for which there exist one, two, three or infinitely many positive solutions are obtained.