Multispike solutions for the Brezis-Nirenberg problem in dimension three

DOI10.1016/j.jde.2018.01.046zbMath1394.35145arXiv1708.01331OpenAlexW2963713983MaRDI QIDQ1706621

Dora Salazar, Monica Musso

Publication date: 22 March 2018

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

Full work available at URL: https://arxiv.org/abs/1708.01331

zbMATH Keywords

Brezis-Nirenberg problemmultispike solutions

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

Construction of solutions of an supercritical elliptic PDE in low dimensions ⋮ Sign changing bubbling solutions for a critical Neumann problem in 3D ⋮ Concentrated solution for some non-local and non-variational singularly perturbed problems ⋮ Nodal Solutions of the Brezis-Nirenberg Problem in Dimension 6

Cites Work

• Unnamed Item
• Unnamed Item
• Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent
• Asymptotic analysis for radial sign-changing solutions of the Brezis-Nirenberg problem
• Proof of two conjectures of H. Brezis and L. A. Peletier
• Symmetry and related properties via the maximum principle
• An elementary proof of the uniqueness of positive radial solutions of a quasilinear Dirichlet problem
• On a variational problem with lack of compactness: The topological effect of the critical points at infinity
• Elliptic equations with critical Sobolev exponents in dimension 3
• The Brezis-Nirenberg problem near criticality in dimension 3
• The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent
• Blow-up and nonexistence of sign changing solutions to the Brezis-Nirenberg problem in dimension three
• On the Green Function of the Annulus
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Remarks on some quasilinear elliptic equations
• Existence of many positive solutions of semilinear elliptic equations on an annulus
• Multispike solutions for a nonlinear elliptic problem involving critical Sobolev exponent
• DOUBLE BLOW-UP SOLUTIONS FOR A BREZIS–NIRENBERG TYPE PROBLEM
• Sign-changing tower of bubbles for the Brezis–Nirenberg problem