Sur un théorème de point critique et application à un problème de non-résonance entre deux valeurs propres du -laplacien
Boundary eigencurve problems involving the biharmonic operator
The aim of this paper is to study the spectrum of the fourth order eigenvalue boundary value problem ⎧Δ²u = αu + βΔu in Ω, ⎨ ⎩u = Δu = 0 on ∂Ω. where (α,β) ∈ ℝ². We prove the existence of a first nontrivial curve of this spectrum and we give its variational characterization. Moreover we prove some properties of this curve, e.g., continuity, convexity, and asymptotic behavior. As an application, we study the non-resonance of solutions below...
Three solutions for a nonlinear Neumann boundary value problem
The aim of this paper is to establish the existence of at least three solutions for the nonlinear Neumann boundary-value problem involving the p(x)-Laplacian of the form in Ω, on ∂Ω. Our technical approach is based on the three critical points theorem due to Ricceri.
Spectre d'ordre supérieur et problèmes aux limites quasi-linéaires
Nello studio dei problemi del tipo , si impongono generalmente delle condizione sul comportamento asintotico di rispetto allo spettro di . Avendo in vista dei problemi quasilineari del tipo , sembra naturale introdurre una nozione di spettro per che tenga conto della dipendenza del membro di destra rispetto al gradiende . L'oggetto di questo lavoro è di definire, studiare e applicare questa nuova nozione di spettro.
Strongly nonlinear elliptic problem without growth condition.
Existence of solutions for some nonlinear elliptic equations.
Maximum and anti-maximum principles for the -Laplacian with a nonlinear boundary condition.
Liénard type -Laplacian neutral Rayleigh equation with a deviating argument.
On a problem of lower limit in the study of nonresonance with Leray-Lions operator.
Eigencurves for a Steklov problem.
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