On strong solvability of the Dirichlet problem for a class of semilinear elliptic equations with discontinuous coefficients

DOI10.30546/2409-4994.47.1.15zbMath1479.35409OpenAlexW3185543539MaRDI QIDQ5162988

Shahla Yu. Salmanova, Farman I. Mamedov

Publication date: 8 November 2021

Published in: Proceedings of the Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.30546/2409-4994.47.1.15

zbMATH Keywords

Dirichlet problemexistencesemilinear elliptic equationsdiscontinuous coefficients

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) PDEs with low regular coefficients and/or low regular data (35R05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61)

Cites Work

• Capacitary strong type estimates in semilinear problems
• Initial-oblique derivative problems for nonlinear parabolic equations with measurable coefficients
• Sopra una classe di equazioni ellittiche a coefficienti misurabili
• Nonlinear equations and weighted norm inequalities
• On the Existence of Positive Solutions of Semilinear Elliptic Equations
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