We prove existence of solutions for a semilinear system of Schrödinger–Maxwell type with an exponential nonlinearity: (Formula presented.) where f(x) is such that |f(x)|log(1+|f(x)|) belongs to L1(Ω). Solutions will be saddle points of a suitable functional.
A semilinear system of Schrödinger–Maxwell type with exponential nonlinearities / Boccardo, L., Orsina, L.. - In: JOURNAL OF FIXED POINT THEORY AND ITS APPLICATIONS. - ISSN 1661-7738. - 28:2(2026). [10.1007/s11784-026-01277-9]
A semilinear system of Schrödinger–Maxwell type with exponential nonlinearities
Boccardo, Lucio
;Orsina, Luigi
2026
Abstract
We prove existence of solutions for a semilinear system of Schrödinger–Maxwell type with an exponential nonlinearity: (Formula presented.) where f(x) is such that |f(x)|log(1+|f(x)|) belongs to L1(Ω). Solutions will be saddle points of a suitable functional.File allegati a questo prodotto
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