Singular elliptic equations with nonlinearities of subcritical and critical growth

DOI10.1017/S0013091522000268zbMath1500.35177OpenAlexW4288050446MaRDI QIDQ5043291

Matheus F. Stapenhorst

Publication date: 21 October 2022

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091522000268

zbMATH Keywords

existencevariational methodssemilinear equation with Laplacian

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Cites Work

• Unnamed Item
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• A class of elliptic equations with singular and critical nonlinearities
• Combined effects of singular and sublinear nonlinearities in some elliptic problems
• Concentration for an elliptic equation with singular nonlinearity
• Existence and multiplicity of positive solutions for singular quasilinear problems
• The concentration-compactness principle in the calculus of variations. The limit case. I
• Positive versus free boundary solutions to a singular elliptic equation
• Numerical analysis of the Cahn-Hilliard equation with a logarithmic free energy
• Combined effects of concave and convex nonlinearities in some elliptic problems
• Existence of weak positive solution for a singular elliptic problem with supercritical nonlinearity
• On a Dirichlet problem with a singular nonlinearity
• Minimax theorems
• Existence for an Allen-Cahn/Cahn-Hilliard system with degenerate mobility
• On a resonant elliptic problem with singular terms
• Positive solutions for nonlinear singular superlinear elliptic equations
• Existence and regularity to an elliptic equation with logarithmic nonlinearity
• Existence of multiple positive solutions for singular elliptic problems with concave and convex nonlinearities
• A bifurcation-type theorem for singular nonlinear elliptic equations
• Two solutions for a singular elliptic equation by variational methods
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• The Free Boundary of a Semilinear Elliptic Equation
• An elliptic equation with singular nonlinearity
• On a singular nonlinear semilinear elliptic problem
• On the Cahn–Hilliard Equation with Degenerate Mobility
• Free boundary solutions to a log-singular elliptic equation
• Well-posedness and long-time behaviour for a singular phase field system of conserved type
• Combined effects of singular and superlinear nonlinearities in some singular boundary value problems.

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