Singular equation with positive solution based on the perturbation of domains method

DOI10.1016/j.jmaa.2020.124531zbMath1458.35204OpenAlexW3081508993MaRDI QIDQ2208938

Marcelo Montenegro, Matheus F. Stapenhorst

Publication date: 28 October 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124531

zbMATH Keywords

variational methodsexistence and uniqueness of positive solutionssingular semilinear equations with Laplacian

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Singular elliptic equations (35J75) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

A singular Liouville equation on two-dimensional domains ⋮ A singular Liouville equation on planar domains

Cites Work

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• Multiple solutions to logarithmic Schrödinger equations with periodic potential
• Multi-bump solutions for logarithmic Schrödinger equations
• On very weak positive solutions to some semilinear elliptic problems with simultaneous singular nonlinear and spatial dependence terms
• Regularity of a very weak solution for parabolic equations and applications
• Existence and multiplicity of positive solutions for singular quasilinear problems
• Positive versus free boundary solutions to a singular elliptic equation
• Numerical analysis of the Cahn-Hilliard equation with a logarithmic free energy
• Some singular, nonlinear differential equations arising in boundary layer theory
• Sublinear singular elliptic problems with two parameters.
• A free boundary problem with log-term singularity
• Critical points and positive solutions of singular elliptic boundary value problems
• Multiplicity and asymptotic behavior of positive solutions for a singular semilinear elliptic problem.
• Existence for an Allen-Cahn/Cahn-Hilliard system with degenerate mobility
• Existence and concentration of positive solutions for a logarithmic Schrödinger equation via penalization method
• Multiple positive solutions for a Schrödinger logarithmic equation
• Existence and regularity to an elliptic equation with logarithmic nonlinearity
• The role of the power 3 for elliptic equations with negative exponents
• Combined effects of asymptotically linear and singular nonlinearities in bifurcation problems of Lane-Emden-Fowler type
• Positive versus compact support solutions to a singular elliptic problem
• Two solutions for a singular elliptic equation by variational methods
• The Free Boundary of a Semilinear Elliptic Equation
• On a Singular Nonlinear Elliptic Boundary-Value Problem
• An elliptic equation with singular nonlinearity
• Équations d'évolution avec non linéarité logarithmique
• On a singular nonlinear semilinear elliptic problem
• On the Cahn–Hilliard Equation with Degenerate Mobility
• Free boundary solutions to a log-singular elliptic equation
• ON THE LOGARITHMIC SCHRÖDINGER EQUATION
• Well-posedness and long-time behaviour for a singular phase field system of conserved type
• A logarithmic Schrödinger equation with asymptotic conditions on the potential

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