Admissible function spaces for weighted Sobolev inequalities
DOI10.3934/cpaa.2021105zbMath1482.35015arXiv2012.04622OpenAlexW3177065176MaRDI QIDQ2238251
T. V. Anoop, Nirjan Biswas, Ujjal Das
Publication date: 1 November 2021
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.04622
weighted Sobolev inequalitiesMuckenhoupt conditionsFefferman-Phong type conditionsLorentz and Lorentz-Zygmund spaces
Variational methods involving nonlinear operators (47J30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An introductory course in Lebesgue spaces
- In between the inequalities of Sobolev and Hardy
- A note on generalized Hardy-Sobolev inequalities
- Bessel pairs and optimal Hardy and Hardy-Rellich inequalities
- A Sobolev-Hardy inequality with applications to a nonlinear elliptic equation arising in astrophysics
- Simplicity of the principal eigenvalue for indefinite quasilinear problems
- Eigenvalue problems with weights in Lorentz spaces
- A sharp inequality of J. Moser for higher order derivatives
- On conformal scalar curvature equations in \({\mathbb{R}}^ n\)
- Weighted Hardy and Opial-type inequalities
- On the positive solutions of the Matukuma equation
- Optimizing improved Hardy inequalities
- A Sawyer-type sufficient condition for the weighted Poincaré inequality
- Global structure of positive solutions to equations of Matukuma type
- Critical nonlinear elliptic equations with singularities and cylindrical symmetry.
- The compactness and the concentration compactness via \(P\)-capacity
- Geometric Hardy's inequalities with general distance functions
- Two-weight norm inequalities for product fractional integral operators
- Factorizations and Hardy's type identities and inequalities on upper half spaces
- Weighted quasilinear eigenvalue problems in exterior domains
- Convolution operators and L(p, q) spaces
- On L(p,q) spaces
- A note about the generalized Hardy-Sobolev inequality with potential in \(L^{p,d}(\mathbb R^n)\)
- Some new functional spaces
- An improved Hardy-Sobolev inequality and its application
- The uncertainty principle
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Sur la complétion par rapport à une intégrale de Dirichlet
- Weighted norm inequalities for potentials with applications to Schrödinger operators, Fourier transforms, and Carleson measures
- LPEstimates for fractional integrals and sobolev inequalities with applications to schrödinger operators
- A Characterization of Two Weight Norm Inequalities for Fractional and Poisson Integrals
- Imbedding theorems of Sobolev type in potential theory.
- A note on limiting cases of sobolev embeddings and convolution inequalities
- Nonlinear p-Laplacian Problems on Unbounded Domains
- Weighted Inequalities for Fractional Integrals on Euclidean and Homogeneous Spaces
- Principal Eigenvalues for Indefinite-Weight Elliptic Problems in R n
- Hardy Inequalities with Mixed Norms
- Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
- On a Noncompact Minimization Problem of Hardy-Sobolev Type
- Sharp sobolev embeddings and related hardy inequalities: The critical case
- Functional Inequalities: New Perspectives and New Applications
- On the generalized Hardy-Rellich inequalities
- Hardy's inequality with weights
This page was built for publication: Admissible function spaces for weighted Sobolev inequalities
