The Brezis-Nirenberg problem for systems involving divergence-form operators
From MaRDI portal
Publication:6072382
DOI10.1007/S00030-023-00882-8zbMath1525.35110MaRDI QIDQ6072382
Burton IV Brown, Mathew R. Gluck, Vince Guingona, Miriam Parnes, Avery Schweitzer, Thomas Hammons, Sean Pooley
Publication date: 13 October 2023
Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Boundary value problems for second-order elliptic systems (35J57)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Extremal maps in best constants vector theory. I: Duality and compactness
- Localization of solutions for nonlinear elliptic problems with critical growth
- An existence result for nonliner elliptic problems involving critical Sobolev exponent
- Semilinear elliptic equations involving critical Sobolev exponents
- Best constant in Sobolev inequality
- Problèmes isoperimetriques et espaces de Sobolev
- The role played by space dimension in elliptic critical problems
- On the regularity of solutions in the Pucci-Serrin identity
- On systems of elliptic equations involving subcritical or critical Sobolev exponents
- Problem with critical Sobolev exponent and with weight
- The Brezis-Nirenberg problem for nonlocal systems
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- On the influence of second order uniformly elliptic operators in nonlinear problems
- The Brezis-Nirenberg result for the fractional Laplacian
- Critical dimensions and higher order Sobolev inequalities with remainder terms
- Existence of solutions for singular critical growth semilinear elliptic equations
This page was built for publication: The Brezis-Nirenberg problem for systems involving divergence-form operators
