DOUBLE BLOW-UP SOLUTIONS FOR A BREZIS–NIRENBERG TYPE PROBLEM

DOI10.1142/S0219199703001099zbMath1048.35025MaRDI QIDQ4474408

Angela Pistoia, Monica Musso

Publication date: 12 July 2004

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

critical Sobolev exponentblowing-up solutionRobin's function

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Variational methods for second-order elliptic equations (35J20)

Related Items (14)

Multispike Solutions of Nonlinear Elliptic Equations with Critical Sobolev Exponent ⋮ Multipeak solutions for asymptotically critical elliptic equations on Riemannian manifolds ⋮ Positive solutions of the Gross–Pitaevskii equation for energy critical and supercritical nonlinearities ⋮ Local uniqueness of blow-up solutions for critical Hartree equations in bounded domain ⋮ Blow-up behavior of solutions to critical Hartree equations on bounded domain ⋮ Multispike solutions for the Brezis-Nirenberg problem in dimension three ⋮ The effect of linear perturbations on the Yamabe problem ⋮ Existence and nonexistence of sign-changing solutions to elliptic critical equations ⋮ A new kind of blowing-up solutions for the Brezis-Nirenberg problem ⋮ Sign changing bubbling solutions for a critical Neumann problem in 3D ⋮ A nonexistence result for blowing up sign-changing solutions of the Brezis–Nirenberg-type problem ⋮ On the influence of second order uniformly elliptic operators in nonlinear problems ⋮ Bubble tower phenomena for an almost critical Hénon type problem ⋮ Existence of concentrating solutions of the Hartree type Brezis-Nirenberg problem

Cites Work

• A global compactness result for elliptic boundary value problems involving limiting nonlinearities
• The effect of domain shape on the number of positive solutions of certain nonlinear equations
• Best constant in Sobolev inequality
• Multiplicity of positive solutions for the equation \(\Delta u + \lambda u + u^{2^*-1} =0\) in noncontractible domains
• On a variational problem with lack of compactness: The topological effect of the critical points at infinity
• Two-bubble solutions in the super-critical Bahri-Coron's problem
• Multi-peak solutions for super-critical elliptic problems in domains with small holes
• The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent
• Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
• Prescribing scalar curvature on \(\mathbb{S}^ n\) and related problems. I
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• A multiplicity result for a variational problem with lack of compactness

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