Uniqueness of extremals for some sharp Poincaré-Sobolev constants
DOI10.1090/TRAN/8838OpenAlexW4307380903MaRDI QIDQ5888962
Publication date: 26 April 2023
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.03394
weighted Sobolev spacesnonlinear eigenvalue problems\(p\)-LaplacianLane-Emden equationPoincaré-Sobolev constants
Smoothness and regularity of solutions to PDEs (35B65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Variational methods for second-order elliptic equations (35J20) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sign-definiteness of \(q\)-eigenfunctions for a super-linear \(p\)-Laplacian eigenvalue problem
- Absolute continuity of the best Sobolev constant
- Regularity results for the best-Sobolev-constant function
- Regularity, monotonicity and symmetry of positive solutions of \(m\)-Laplace equations
- Second-order two-sided estimates in nonlinear elliptic problems
- On the influence of domain shape on the existence of large solutions of some superlinear problems
- Simplicity of the principal eigenvalue for indefinite quasilinear problems
- Degenerate elliptic equations with singular nonlinearities
- Functional analysis, Sobolev spaces and partial differential equations
- The effect of domain shape on the number of positive solutions of certain nonlinear equations
- Qualitative properties of positive solutions of semilinear elliptic equations in symmetric domains via the maximum principle
- Introduction à la théorie des points critiques et applications aux problèmes elliptiques
- An elementary proof of the uniqueness of positive radial solutions of a quasilinear Dirichlet problem
- Uniqueness of least energy solutions to a semilinear elliptic equation in \(\mathbb{R}^ 2\)
- Symmetry results for functions yielding best constants in Sobolev-type inequalities.
- Elliptic partial differential equations of second order
- Extremal functions for Morrey's inequality in convex domains
- On a problem of Huang concerning best constants in Sobolev embeddings
- Hopf's lemma for a class of singular/degenerate PDE-s
- On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
- Remarks on sublinear elliptic equations
- Boundary regularity for solutions of degenerate elliptic equations
- Uniqueness of Radial Solutions of Semilinear Elliptic Equations
- A Picone's identity for the p-Laplacian and applications
- On the Fredholm alternative for the p-Laplacian at the first eigenvalue
- A First Course in Sobolev Spaces
- An overview on constrained critical points of Dirichlet integrals
- Sobolev Spaces
- Interior regularity results for inhomogeneous anisotropic quasilinear equations
This page was built for publication: Uniqueness of extremals for some sharp Poincaré-Sobolev constants
