The quasi-linear Brezis-Nirenberg problem in low dimensions

DOI10.1016/j.jfa.2023.110176zbMath1528.35064arXiv2304.14215OpenAlexW4387107992MaRDI QIDQ6065768

Pierpaolo Esposito, Sabina Angeloni

Publication date: 15 November 2023

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.14215

zbMATH Keywords

existencecritical Sobolev exponent\(p\)-Laplacian

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

• Unnamed Item
• Radial symmetry and applications for a problem involving the \(-\Delta_p(\cdot)\) operator and critical nonlinearity in \(\mathbb{R}^N\)
• A priori estimates and application to the symmetry of solutions for critical \(p\)-Laplace equations
• A global compactness result for the \(p\)-Laplacian involving critical nonlinearities
• Conformal deformation of a Riemannian metric to constant scalar curvature
• Singular solutions of the \(p\)-Laplace equation
• Regularity for a more general class of quasilinear equations
• Proof of the positive mass theorem. II
• On the proof of the positive mass conjecture in general relativity
• The best constants problem in Sobolev inequalities
• On the best Sobolev inequality
• On some conjectures proposed by Haïm Brezis.
• Elliptic equations with critical Sobolev exponents in dimension 3
• The Hardy-Schrödinger operator with interior singularity: the remaining cases
• A strong maximum principle for some quasilinear elliptic equations
• Liouville results for \(m\)-Laplace equations of Lane-Emden-Fowler type
• Hardy-singular boundary mass and Sobolev-critical variational problems
• Local behavior of solutions of quasi-linear equations
• Classification of positive \(\mathcal{D}^{1, p}(\mathbb{R}^N)\)-solutions to the critical \(p\)-Laplace equation in \(\mathbb{R}^N\)
• Quasilinear elliptic equations involving critical Sobolev exponents
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Boundary regularity for solutions of degenerate elliptic equations
• Extremal functions for optimal Sobolev inequalities on compact manifolds

This page was built for publication: The quasi-linear Brezis-Nirenberg problem in low dimensions