Multiplicity and asymptotic behavior of solutions for Kirchhoff type equations involving the Hardy-Sobolev exponent and singular nonlinearity

DOI10.1186/s13660-018-1806-8zbMath1498.35231OpenAlexW2885204248WikidataQ58774285 ScholiaQ58774285MaRDI QIDQ824734

Liejun Shen

Publication date: 15 December 2021

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

Full work available at URL: https://doi.org/10.1186/s13660-018-1806-8

zbMATH Keywords

multiplicityasymptotic behaviormountain pass theoremEkeland's variational principleNehari manifoldHardy-Sobolev exponentfibering map

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Second-order elliptic systems (35J47)

Related Items (2)

Existence and multiplicity of solutions for Kirchhof-type problems with Sobolev-Hardy critical exponent ⋮ Fractional Hardy-Sobolev inequalities with magnetic fields

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multiple positive solutions for a Kirchhoff type problem with a critical nonlinearity
• Existence and concentration result for the Kirchhoff type equations with general nonlinearities
• Multiple positive solutions for Kirchhoff type of problems with singularity and critical exponents
• Multiple positive solutions for a class of nonlinear elliptic equations
• Multiple positive solutions for \(p\)-Laplace elliptic equations involving concave-convex nonlinearities and a Hardy-type term
• The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions
• Solutions for semilinear elliptic equations with critical exponents and Hardy potential
• Existence and asymptotic behavior of nodal solutions for the Kirchhoff-type problems in \(\mathbb{R}^3\)
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Multiplicity and asymptotic behavior of solutions to a class of Kirchhoff-type equations involving the fractional \(p\)-Laplacian
• Standing waves for a class of Kirchhoff type problems in \(\mathbb R^3\) involving critical Sobolev exponents
• Multiple positive solutions for a critical quasilinear elliptic system with concave-convex nonlinearities
• Multiple positive solutions for elliptic equations involving a concave term and critical Sobolev-Hardy exponent
• Multiple positive solutions for a class of concave-convex elliptic problems in \(\mathbb R^N\) involving sign-changing weight
• Combined effects of concave and convex nonlinearities in some elliptic problems
• The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
• Minimax theorems
• Multiple positive solutions for Kirchhoff type problems with singularity
• Sign-changing solutions for a class of Kirchhoff-type problem in bounded domains
• Existence of positive ground state solutions for the nonlinear Kirchhoff type equations in \(\mathbb{R}^3\)
• On the quasilinear elliptic problems with critical Sobolev-Hardy exponents and Hardy terms
• Multiple positive solutions for a class of concave–convex elliptic problems in ℝ^Ninvolving sign-changing weight, II
• Nonconvex minimization problems
• Positive solutions for the p-Laplacian: application of the fibrering method
• On harnack type inequalities and their application to quasilinear elliptic equations

This page was built for publication: Multiplicity and asymptotic behavior of solutions for Kirchhoff type equations involving the Hardy-Sobolev exponent and singular nonlinearity