Nodal blow-up solutions to slightly subcritical elliptic problems with Hardy-critical term

DOI10.1515/ans-2016-6008zbMath1359.35063OpenAlexW2559983324MaRDI QIDQ507452

Qianqiao Guo, Thomas J. Bartsch

Publication date: 6 February 2017

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2016-6008

zbMATH Keywords

singular perturbation methodscritical exponentblow-up solutionsnodal solutionsmulti-bubble solutionsHardy termslightly subcritical problems

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Blow-up in context of PDEs (35B44)

Related Items

Nodal bubble tower solutions to slightly subcritical elliptic problems with Hardy terms ⋮ Multi-bubble nodal solutions to slightly subcritical elliptic problems with Hardy terms in symmetric domains

Cites Work

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• Asymptotic behavior for elliptic problems with singular coefficient and nearly critical Sobolev growth
• Solutions for semilinear elliptic equations with critical exponents and Hardy potential
• Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent
• Proof of two conjectures of H. Brezis and L. A. Peletier
• Nodal and positive solutions for singular semilinear elliptic equations with critical exponents in symmetric domains
• Nonexistence of multi-bubble solutions to some elliptic equations on convex domains
• Sign changing bubble tower solutions in a slightly subcritical semilinear Dirichlet problem
• Blow-up points of solutions to elliptic equations with limiting nonlinearity
• A note on the Sobolev inequality
• Best constant in Sobolev inequality
• Problèmes isoperimetriques et espaces de Sobolev
• The role played by space dimension in elliptic critical problems
• Topological methods for variational problems with symmetries
• On a variational problem with lack of compactness: The topological effect of the critical points at infinity
• Semilinear Dirichlet problem with nearly critical exponent, asymptotic location of hot spots
• ``Bubble-tower radial solutions in the slightly supercritical Brezis-Nirenberg problem.
• A note on the sign-changing solutions to elliptic problems with critical Sobolev and Hardy terms.
• Caffarelli--Kohn--Nirenberg inequalities with remainder terms.
• Two-bubble solutions in the super-critical Bahri-Coron's problem
• Elliptic problems with critical exponents and Hardy potentials.
• The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent
• On positive entire solutions to a class of equations with a singular coefficient and critical exponent
• Multi-bubble nodal solutions for slightly subcritical elliptic problems in domains with symmetries
• On the existence and the profile of nodal solutions of elliptic equations involving critical growth
• Tower of bubbles for almost critical problems in general domains
• On the profile of sign-changing solutions of an almost critical problem in the ball
• Nonradial Solutions to Critical Elliptic Equations of Caffarelli–Kohn–Nirenberg Type
• FOUNTAIN-LIKE SOLUTIONS FOR NONLINEAR ELLIPTIC EQUATIONS WITH CRITICAL GROWTH AND HARDY POTENTIAL
• On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain
• Multispike solutions for a nonlinear elliptic problem involving critical Sobolev exponent
• Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
• Selected new aspects of the calculus of variations in the large
• Nonlinear Schrödinger equations with Hardy potential and critical nonlinearities
• Existence of Blowing-up Solutions for a Nonlinear Elliptic Equation with Hardy Potential and Critical Growth
• Existence of solutions for singular critical growth semilinear elliptic equations