Semilinear problems involving nonlinear operators of monotone type

Semilinear problems involving nonlinear operators of monotone type

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 ofdifferent types are discussed.

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