Existence of positive solution for a class of nonlocal problem with strong singularity and linear term

DOI10.7153/dea-2020-12-18zbMath1474.35057OpenAlexW3089772185MaRDI QIDQ5858087

Jia-Feng Liao, Aijun Hou

Publication date: 9 April 2021

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/dea-2020-12-18

zbMATH Keywords

variational methodnonlocal problemNehari manifoldlinear termstrong singularity

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Positive solutions to PDEs (35B09) Singular elliptic equations (35J75)

Related Items (1)

Global existence and blow-up of solutions for a \(\mathtt{p}\)-Kirchhoff type parabolic equation with logarithmic nonlinearity

Cites Work

• Unnamed Item
• A uniqueness result for Kirchhoff type problems with singularity
• Combined effects of singular and critical nonlinearities in elliptic problems
• Multiple positive solutions for Kirchhoff type of problems with singularity and critical exponents
• An exact estimate result for a class of singular equations with critical exponents
• Brezis-Nirenberg type theorems and multiplicity of positive solutions for a singular elliptic problem
• Kirchhoff type equations with strong singularities
• A uniqueness result for some Kirchhoff-type equations with negative exponents
• Multiple positive solutions for Kirchhoff type problems with singularity and asymptotically linear nonlinearities
• Existence of weak positive solution for a singular elliptic problem with supercritical nonlinearity
• On the variational principle
• Multiplicity and asymptotic behavior of positive solutions for a singular semilinear elliptic problem.
• Multiple positive solutions for Kirchhoff type problems with singularity
• Existence and multiplicity of positive solutions for a class of Kirchhoff type problems with singularity
• A fractional Kirchhoff problem involving a singular term and a critical nonlinearity
• The role of the power 3 for elliptic equations with negative exponents
• Existence of multiple positive solutions for singular elliptic problems with concave and convex nonlinearities
• Multiplicity of solutions for a Dirichlet problem with a strongly singular nonlinearity
• Existence of two positive solutions for a class of semilinear elliptic equations with singularity and critical exponent
• On a Singular Nonlinear Elliptic Boundary-Value Problem
• Regularity of an elliptic problem with a singular nonlinearity
• Multiple positive solutions for Schrödinger‐Poisson system involving singularity and critical exponent
• Compatibility phenomena in singular problems
• Positive solutions for singular nonlinear elliptic equations
• Combined effects of singular and superlinear nonlinearities in some singular boundary value problems.

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