Étude du nombre de solutions pour une classe d'équations elliptiques non-linéaires qui se prolongent en problèmes à frontière libre
Existence and multiplicity results for a semilinear elliptic eigenvalue problem
Existence and multiplicity results for nonlinear eigenvalue problems with discontinuities
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.
Existence and uniqueness for a -Laplacian nonlinear eigenvalue problem.
Existence of positive solutions for two nonlinear eigenvalue problems.
Existence of solutions for an eigenvalue problem with weight.
Existence of three solutions to a double eigenvalue problem for the p-biharmonic equation
Using a three critical points theorem and variational methods, we study the existence of at least three weak solutions of the Navier problem ⎧ in Ω, ⎨ ⎩u = Δu = 0 on ∂Ω, where (N ≥ 1) is a non-empty bounded open set with a sufficiently smooth boundary ∂Ω, λ > 0, μ > 0 and f,g: Ω × ℝ → ℝ are two L¹-Carathéodory functions.
Existence results for quasilinear elliptic systems in .
Extension of Díaz-Saá's inequality in RN and application to a system of p-Laplacian.
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 and F. de Thélin’s work [9] for the first...
Finite Dimensional Approximation of Bifurcation Problems in Presence of Symmetries.
Finite element approximation of a non-Lipschitz nonlinear eigenvalue problem
Finite element approximation of the first eigenvalue of a nonlinear problem for some special domains.
Four-parameter bifurcation for a -Laplacian system.
Free boundary eigenfunctions for a nonlinear degenerate eigenvalue problem.
Fučík spectra for vector equations.
Global Bifurcation of Waves.
Global bifurcation result for the -biharmonic operator.
Hartree-Fock theory in nuclear physics
Infinite multiplicity of positive solutions for singular nonlinear elliptic equations with convection term and related supercritical problems.
Interaction of Periodic and Stationary Bifurcation from Multiple Eigenvalues.