A semilinear system of Schrödinger-Maxwell equations

DOI10.1016/j.na.2019.02.007zbMath1436.35136OpenAlexW2919861898MaRDI QIDQ2309743

Luigi Orsina, Boccardo, Lucio

Publication date: 1 April 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2019.02.007

zbMATH Keywords

second-order elliptic systemexistence of positve solutionsregularity of positive solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47) Positive solutions to PDEs (35B09)

Cites Work

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• Nonlinear elliptic equations in \(\mathbb{R}^ N\) without growth restrictions on the data
• Nonlinear elliptic and parabolic equations involving measure data
• An eigenvalue problem for the Schrödinger-Maxwell equations
• Regularizing effect for a system of Schrödinger-Maxwell equations
• Nonlinear problems related to the Thomas-Fermi equation
• Regularizing effect for some \(p\)-Laplacian systems
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• Nonlinear Elliptic Equations with Right Hand Side Measures
• Regularity of the solutions to nonlinear elliptic equations with a lower-order term

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