A nonexistence result for sign-changing solutions of the Brezis-Nirenberg problem in low dimensions

DOI10.1016/j.jde.2015.01.030zbMath1327.35120arXiv1406.7681OpenAlexW2036112241MaRDI QIDQ2344708

Filomena Pacella, Alessandro Iacopetti

Publication date: 15 May 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.7681

zbMATH Keywords

asymptotic behaviorsemilinear elliptic equationscritical exponentsign-changing solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (8)

An existence result for sign-changing solutions of the Brézis-Nirenberg problem ⋮ New multiplicity results for critical \(p\)-Laplacian problems ⋮ 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 ⋮ A nonexistence result for blowing up sign-changing solutions of the Brezis–Nirenberg-type problem ⋮ Asymptotic analysis for radial sign-changing solutions of the Brezis-Nirenberg problem in low dimensions ⋮ Towers of bubbles for Yamabe-type equations and for the Brézis-Nirenberg problem in dimensions \(n \geq 7\) ⋮ Nodal Solutions of the Brezis-Nirenberg Problem in Dimension 6

Cites Work

• Blow-up and symmetry of sign-changing solutions to some critical elliptic equations
• Nodal solutions of elliptic equations with critical Sobolev exponents
• On the Brézis-Nirenberg problem
• An existence result for nonliner elliptic problems involving critical Sobolev exponent
• The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent
• Some existence results for superlinear elliptic boundary value problems involving critical exponents
• 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
• Sign-changing tower of bubbles for the Brezis–Nirenberg problem
• Unnamed Item

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