A THEORY OF SEMILINEAR OPERATOR EQUATIONS UNDER NONRESONANCE CONDITIONS

Dezideriu Muzsi

Abstract


A general theory of semilinear operator equations under nonresonance conditions is developed in order to unify specific results. Existence of weak solutions (in the energetic space) is established by means of several fixed point principles.

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ISSN: 1229-1595 (Print), 2466-0973 (Online)