Boundary value problems for elliptic integro-differential operators.
Bifurcation for nonlinear elliptic boundary value problems I.
This paper is devoted to local static bifurcation theory for a class of degenerate boundary value problems for nonlinear second-order elliptic differential operators. The purpose of this paper is twofold. The first purpose is to prove that the first eigenvalue of the linearized boundary value problem is simple and its associated eigenfunction is positive. The second purpose is to discuss the changes that occur in the structure of the solutions as a parameter varies near the first eigenvalue of the...
Sur l'existence de processus de diffusion
Dans cet article, on considère le problème de l’existence de processus de diffusion satisfaisant aux conditions aux limites introduites par Ventcel’ et on donne des conditions suffisantes, en généralisant des résultats de Bony-Courrège-Priouret au cas où les conditions aux limites sont .
Feller semigroups and degenerate elliptic operators with Wentzell boundary conditions
This paper is devoted to the functional analytic approach to the problem of construction of Feller semigroups with Wentzell boundary conditions in the characteristic case. Our results may be stated as follows: We can construct Feller semigroups corresponding to a diffusion phenomenon including absorption, reflection, viscosity, diffusion along the boundary and jump at each point of the boundary.
A mathematical analysis of thermal explosions.
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