A NONRESONANCE BETWEEN NON-CONSECUTIVE EIGENVALUES OF SEMILINEAR ELLIPTIC EQUATIONS: VARIATIONAL METHODS
Author
MOUSSAOUI,M.
MOUSSAOUI,M.
Abstract
We study the solvability of the problem -<FONT FACE=Symbol>Du</FONT> = <FONT FACE=Symbol>¦</FONT>(x, u) + h in <FONT FACE=Symbol>W </FONT>; u = 0 on <FONT FACE=Symbol>¶W</FONT> when the monlinearity f is assumed to lie asymptotically between two non - consecutive eigenvalues of -delta. We show that this problem is nonresonant.