Applications of \(p\)-harmonic transplantation for functional inequalities involving a Finsler norm
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Publication:2128916
DOI10.1007/s42985-022-00168-1zbMath1484.26027arXiv2111.11666OpenAlexW3216622059WikidataQ114216393 ScholiaQ114216393MaRDI QIDQ2128916
Futoshi Takahashi, Sadaf Habibi
Publication date: 22 April 2022
Published in: SN Partial Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.11666
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)
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Critical Hardy inequality on the half-space via the harmonic transplantation ⋮ Asymptotic behavior of least energy solutions to the Finsler Lane-Emden problem with large exponents
Cites Work
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- An optimal anisotropic Poincaré inequality for convex domains
- Blow-up analysis of a Finsler-Liouville equation in two dimensions
- Extremal functions for the singular Moser-Trudinger inequality in 2 dimensions
- Best constant in Sobolev trace inequalities on the half-space
- Extremal functions for the Trudinger-Moser inequality in 2 dimensions
- Best constant in Sobolev inequality
- Problèmes isoperimetriques et espaces de Sobolev
- Anisotropic motion by mean curvature in the context of Finsler geometry
- Convex symmetrization and applications
- The general optimal \(L^{p}\)-Euclidean logarithmic Sobolev inequality by Hamilton--Jacobi equations.
- Best constants for Gagliardo-Nirenberg inequalities and applications to nonlinear diffusions.
- Isoperimetric inequalities, Wulff shape and related questions for strongly nonlinear elliptic operators
- Moser-Trudinger inequality involving the anisotropic Dirichlet norm \((\int_\Omega F^N(\nabla u) d x)^{\frac{1}{N}}\) on \(W_0^{1, N}(\Omega)\)
- Finsler Hardy-Kato's inequality
- The optimal Euclidean \(L^{p}\)-Sobolev logarithmic inequality.
- Hardy and Rellich inequalities, identities, and sharp remainders on homogeneous groups
- Minimization problem associated with an improved Hardy-Sobolev type inequality
- Extremals for the singular Moser-Trudinger inequality via n-harmonic transplantation
- Attainability of the best Sobolev constant in a ball
- Scale invariance structures of the critical and the subcritical Hardy inequalities and their improvements
- Transplantation harmonique, transplantation par modules, et théoremes isoperimetriques
- Normal and integral currents
- Singular Moser–Trudinger inequality on simply connected domains
- Logarithmic Sobolev Inequalities for the Heat-Diffusion Semigroup
- Geometric asymptotics and the logarithmic Sobolev inequality
- Green’s function, harmonic transplantation, and best Sobolev constant in spaces of constant curvature
- Anisotropic Hardy inequalities
- Sobolev Spaces
- Finsler Hardy inequalities