Variational methods for a resonant problem with the -Laplacian in .
Comportement asymptotique des valeurs propres du problème de Dirichlet relatif à un ouvert non borné
Estimation des valeurs propres d'opérateurs elliptiques sur des ouverts non bornés
Asymptotic behavior of solutions for some nonlinear partial differential equations on unbounded domains.
Four-parameter bifurcation for a -Laplacian system.
Boundary behavior and estimates for solutions of equations containing the -Laplacian.
On the existence of multiple principal eigenvalues for some indefinite linear eigenvalue problems.
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.
Maximun Principle and existence of solutions for elliptic systems involving schrödinger operators
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