Double resonance and multiple solutions for semilinear elliptic equations
P. N. Srikanth (1984)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “Nonresonance conditions at the two first eigenvalues for semilinear equations”
Double resonance and multiple solutions for semilinear elliptic equations
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Marcos Montenegro (2000)
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Solvability of linear and semilinear eigenvalue problems with data
Luigi Orsina (1993)
Rendiconti del Seminario Matematico della Università di Padova
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On the existence of multiple principal eigenvalues for some indefinite linear eigenvalue problems.
Jacqueline Fleckinger, Jesús Hernández, François De Thélin (2003)
RACSAM
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We study the existence of principal eigenvalues for differential operators of second order which are not necessarily in divergence form. We obtain results concerning multiplicity of principal eigenvalues in both the variational and the general case. Our approach uses systematically the Krein-Rutman theorem and fixed point arguments for the inverse of the spectral radius of some associated problems. We also use a variational characterization for both the self-adjoint and the general case. ...
On an estimate for the principal eigenvalue of a linear elliptic problem
Gossez, Jean-Pierre, Lami Dozo, Enrique (1982)
Portugaliae mathematica
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Periodic solutions of higher order ordinary differential equations with one-sided growth restrictions on the nonlinear term
Ramos, M. (1990)
Portugaliae mathematica
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Extension of Díaz-Saá's inequality in R and application to a system of p-Laplacian.
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...
Unbounded components of solutions for equations of Birkhoff-Kellogg type
Massabo, I. (1981)
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Existence and multiplicity results for nonlinear eigenvalue problems with discontinuities
Nikolaos Papageorgiou, Francesca Papalini (2000)
Annales Polonici Mathematici
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We study eigenvalue problems with discontinuous terms. In particular we consider two problems: a nonlinear problem and a semilinear problem for elliptic equations. In order to study the existence of solutions we replace these two problems with their multivalued approximations and, for the first problem, we estabilish an existence result while for the second problem we prove the existence of multiple nontrivial solutions. The approach used is variational.