A THEORY OF SEMILINEAR OPERATOR EQUATIONS UNDER NONRESONANCE CONDITIONS

Dezideriu Muzsi

Abstract


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

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

(51767) 7 Kyungnamdaehak-ro, Masanhappo-gu, Changwon-si, Gyeongsangnam-do, Republic of Korea