Positive radial symmetric solutions for a class of elliptic problems with critical exponent and \(-1\) growth

DOI10.1515/anona-2020-0174zbMath1472.35195OpenAlexW3162277154MaRDI QIDQ2043772

Chun-Yu Lei, Jia-Feng Liao

Publication date: 3 August 2021

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anona-2020-0174

zbMATH Keywords

existencecritical growthradial symmetrysingular semilinear equation with Laplacian

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Singular elliptic equations (35J75) Symmetries, invariants, etc. in context of PDEs (35B06) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Cites Work

• Unnamed Item
• Combined effects of singular and critical nonlinearities in elliptic problems
• Multiple positive solutions for Kirchhoff type of problems with singularity and critical exponents
• Solutions for singular \(p\)-Laplacian equation in \(R^{n}\)
• 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
• Multiplicity of positive solutions for a singular and critical problem
• Existence of weak positive solution for a singular elliptic problem with supercritical nonlinearity
• Multiplicity and asymptotic behavior of positive solutions for a singular semilinear elliptic problem.
• 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
• Existence of two positive solutions for a class of semilinear elliptic equations with singularity and critical exponent
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• On a Singular Nonlinear Elliptic Boundary-Value Problem
• Multi-parameter bifurcation and asymptotics for the singular Lane–Emden–Fowler equation with a convection term
• Compatibility phenomena in singular problems
• Combined effects of singular and superlinear nonlinearities in some singular boundary value problems.

This page was built for publication: Positive radial symmetric solutions for a class of elliptic problems with critical exponent and \(-1\) growth