Energy asymptotics in the three-dimensional Brezis-Nirenberg problem
From MaRDI portal
Publication:2658054
DOI10.1007/s00526-021-01929-3OpenAlexW3133476077WikidataQ115386787 ScholiaQ115386787MaRDI QIDQ2658054
Tobias König, Rupert L. Frank, Hynek Kovařík
Publication date: 18 March 2021
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.01331
Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20)
Related Items (4)
Positive solutions of the Gross–Pitaevskii equation for energy critical and supercritical nonlinearities ⋮ On existence of solutions for some classes of elliptic problems with supercritical exponential growth ⋮ Degenerate stability of some Sobolev inequalities ⋮ Critical functions and blow-up asymptotics for the fractional Brezis-Nirenberg problem in low dimension
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A global compactness result for elliptic boundary value problems involving limiting nonlinearities
- Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent
- The concentration-compactness principle in the calculus of variations. The limit case. I
- Proof of two conjectures of H. Brezis and L. A. Peletier
- Conformal deformation of a Riemannian metric to constant scalar curvature
- Elliptic equations with nearly critical growth
- Asymptotic behavior of least energy solutions to a semilinear Dirichlet problem near the critical exponent
- The bound state of weakly coupled Schrödinger operators in one and two dimensions
- Best constant in Sobolev inequality
- Problèmes isoperimetriques et espaces de Sobolev
- Variational problems with concentration
- On some conjectures proposed by Haïm Brezis.
- Elliptic equations with critical Sobolev exponents in dimension 3
- Concentration of low energy extremals: Identification of concentration points
- The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent
- Energy asymptotics in the Brezis-Nirenberg problem: the higher-dimensional case
- Weak perturbations of the \(p\)-Laplacian
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- On the Location of Blow up Points of Least Energy Solutions to the Brezis-Nirenberg Equation
- On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain
- Semilinear elliptic equations with near critical growth rates
- Minimum Value for c in the Sobolev Inequality $\| {\phi ^3 } \|\leqq c\| {\nabla \phi } \|^3 $
- From best constants to critical functions
This page was built for publication: Energy asymptotics in the three-dimensional Brezis-Nirenberg problem