Existence of two positive solutions for a class of semilinear elliptic equations with singularity and critical exponent
From MaRDI portal
Publication:2809375
DOI10.4064/ap3606-10-2015zbMath1372.35103OpenAlexW2326591066MaRDI QIDQ2809375
Peng Zhang, Jia-Feng Liao, Jiu Liu, Chun-Lei Tang
Publication date: 27 May 2016
Published in: Annales Polonici Mathematici (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4064/ap3606-10-2015
Critical exponents in context of PDEs (35B33) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09)
Related Items (7)
Two positive solutions for quasilinear elliptic equations with singularity and critical exponents ⋮ Uniqueness of positive solutions for a class of \(p\)-Kirchhoff type problems with singularity ⋮ Multiplicity of positive solutions for a class of concave-convex elliptic equations with critical growth ⋮ A nonsmooth theory for a logarithmic elliptic equation with singular nonlinearity ⋮ An exact estimate result for singular \(p\)-Laplacian equations with sign-changing potential ⋮ Positive radial symmetric solutions for a class of elliptic problems with critical exponent and \(-1\) growth ⋮ Existence of positive solution for a class of nonlocal problem with strong singularity and linear term
Cites Work
- Combined effects of singular and critical nonlinearities in elliptic problems
- A Dirichlet problem with singular and supercritical nonlinearities
- 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
- Classical and weak solutions of a singular semilinear elliptic problem
- Structure of ground state solutions of singular semilinear elliptic equations.
- Entire solutions of singular elliptic equations
- Multiplicity and asymptotic behavior of positive solutions for a singular semilinear elliptic problem.
- Dual variational methods in critical point theory and applications
- 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
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- On a Singular Nonlinear Elliptic Boundary-Value Problem
- On a dirichlet problem with a singular nonlinearity
- Regularity of an elliptic problem with a singular nonlinearity
- Combined effects of singular and superlinear nonlinearities in some singular boundary value problems.
This page was built for publication: Existence of two positive solutions for a class of semilinear elliptic equations with singularity and critical exponent
