Elliptic equations with critical exponent on \(S^3\): new non-minimising solutions

DOI10.1016/j.crma.2004.07.010zbMath1081.35028OpenAlexW2033623145MaRDI QIDQ1887002

Lambertus A. Peletier, Haim Brezis

Publication date: 23 November 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.07.010

Mathematics Subject Classification ID

Related Items (9)

The Brezis-Nirenberg problem for the Laplacian with a singular drift in \(\mathbb{R}^n\) and \(\mathbb{S}^n\) ⋮ Elliptic equations with critical exponent on a torus invariant region of 𝕊3 ⋮ Best Sobolev constants and quasi‐linear elliptic equations with critical growth on spheres ⋮ Uniqueness for the Brezis-Nirenberg problem on compact Einstein manifolds ⋮ Elliptic equations with critical exponent on spherical caps of \(S^{3}\) ⋮ On some nonlinear equations with critical exponents ⋮ A note on a result of M. Grossi ⋮ On the Brezis--Nirenberg problem on \(S^3\), and a conjecture of Bandle--Benguria ⋮ Bubble solutions for an elliptic problem with critical growth in exterior domain

Cites Work

• Unnamed Item
• Best Sobolev constants and Emden equations for the critical exponent in \(S^3\)
• Singularly perturbed elliptic equations with symmetry: existence of solutions concentrating on spheres. I
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Singularly perturbed elliptic equations with symmetry: Existence of solutions concentrating on spheres, Part II
• Spatial patterns. Higher order models in physics and mechanics
• The Brézis-Nirenberg problem on \(\mathbb{S}^3\)

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