Asymptotic analysis for radial sign-changing solutions of the Brezis-Nirenberg problem in low dimensions

DOI10.1007/978-3-319-19902-3_20zbMath1334.35035arXiv1411.1090OpenAlexW1553168691MaRDI QIDQ5743929

Filomena Pacella, Alessandro Iacopetti

Publication date: 9 February 2016

Published in: Contributions to Nonlinear Elliptic Equations and Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.1090

zbMATH Keywords

asymptotic behaviorsemilinear elliptic equationscritical exponentsign-changing solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Critical exponents in context of PDEs (35B33) Semilinear elliptic equations (35J61)

Related Items (7)

An existence result for sign-changing solutions of the Brézis-Nirenberg problem ⋮ New multiplicity results for critical \(p\)-Laplacian problems ⋮ Concentration profile, energy, and weak limits of radial solutions to semilinear elliptic equations with Trudinger-Moser critical nonlinearities ⋮ A non-existence result for low energy sign-changing solutions of the Brezis-Nirenberg problem in dimensions 4, 5 and 6 ⋮ The Brézis-Nirenberg type problem for the \(p\)-Laplacian: infinitely many sign-changing solutions ⋮ New concentration phenomena for a class of radial fully nonlinear equations ⋮ A complete scenario on nodal radial solutions to the Brezis Nirenberg problem in low dimensions ^*

Cites Work

• Unnamed Item
• Unnamed Item
• Nodal solutions of elliptic equations with critical Sobolev exponents
• The second bifurcation branch for radial solutions of the Brezis-Nirenberg problem in dimension four
• On the Brézis-Nirenberg problem
• An existence result for nonliner elliptic problems involving critical Sobolev exponent
• An elementary proof of the uniqueness of positive radial solutions of a quasilinear Dirichlet problem
• Some existence results for superlinear elliptic boundary value problems involving critical exponents
• A nonexistence result for sign-changing solutions of the Brezis-Nirenberg problem in low dimensions
• Multiple solutions for the Brezis-Nirenberg problem
• Blow-up and nonexistence of sign changing solutions to the Brezis-Nirenberg problem in dimension three
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Elementary proof of the nonexistence of nodal solutions for the semilinear elliptic equations with critical sobolev exponent
• Emden-Fowler equations involving critical exponents
• ON THE ROLE OF SPACE DIMENSION [xxx IN THE SEMILINEAR BREZIS-NIRENBERG EIGENVALUE PROBLEM]
• Variational Methods
• Sign-changing tower of bubbles for the Brezis–Nirenberg problem

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