Semilinear problems involving nonlinear operators of monotone type

Year 2019, Volume: 2 Issue: 1, 25 - 35, 30.04.2019

İn-sook Kim

Abstract

This is a survey article on semilinear problems with a non-symmetric linear part and a nonlinear part of monotone type in real Hilbert spaces.

We study the solvability of semilinear inclusions in the nonresonance and resonance cases. Semilinear systems consisting of semilinear equations of

different types are discussed.

Keywords

semilinear inclusion, semilinear system, operators of monotone type, degree theory

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