Etude d'un problème multipoints en résonnance par la théorie du degré de coincidence

Since the first decade of the century (see S. Zaremba [11]) it has been known that the problem of solving (0.1) reduces to the problem of finding the orthogonal projection of a

L^ B be the Martin boundary associa- ted with the boundary value problem (1). Then the connected com- ponents of B are in one-to-one correspondence mth the points a of the set r. ^n

On one hand, in the case when F (t, ·) is lower semicontinuous with nonconvex values, by Schaefer’s fixed point theorem ([7]) combined with a selection theorem of Bressan Colombo

Lieberman, Boundary regularity for solutions of degenerate elliptic equations, Nonlinear Anal. Magenes, Problemi ai limiti

ZASLAVSKI, The existence and structure of extremals for a class of second order infinite horizon variational problems, J. ZASLAVSKI, Structure of extremals for

VELO, Scattering Theory in the Energy Space for a Class of Nonlinear Wave Equations, Commun. VELO, Smoothing Properties and Retarded Estimates for

of Nonlinear Partial Differential Equations Satisfying Nonlinear Boundary Conditions..

Segregated direct boundary-domain integral equation (BDIE) systems associated with mixed, Dirichlet and Neumann boundary value problems (BVPs) for a scalar ”Laplace” PDE with