Compact embeddings, eigenvalue problems, and subelliptic Brezis-Nirenberg equations involving singularity on stratified Lie groups (Q6130303)

scientific article; zbMATH DE number 7826796

Language	Label	Description	Also known as
English	Compact embeddings, eigenvalue problems, and subelliptic Brezis-Nirenberg equations involving singularity on stratified Lie groups	scientific article; zbMATH DE number 7826796

Statements

instance of

scholarly article

0 references

title

Compact embeddings, eigenvalue problems, and subelliptic Brezis-Nirenberg equations involving singularity on stratified Lie groups (English)

0 references

0 references

0 references

0 references

Mathematische Annalen

0 references

publication date

2 April 2024

0 references

full work available at URL

https://arxiv.org/abs/2205.06007

0 references

zbMATH Keywords

fractional $p$-sub-Laplacian

0 references

fractional Folland–Stein–Sobolev spaces

0 references

positivity of the first eigenfunction

0 references

MaRDI profile type

MaRDI publication profile

0 references

cites work

A Hardy type inequality on fractional order Sobolev spaces on the Heisenberg group

0 references

Pointwise characterization of Besov and Triebel–Lizorkin spaces on spaces of homogeneous type

0 references

Q3778373

0 references

Fractional Cahn-Hilliard, Allen-Cahn and porous medium equations

0 references

A measure characterization of embedding and extension domains for Sobolev, Triebel-Lizorkin, and Besov spaces on spaces of homogeneous type

0 references

The Dirichlet problem for a sub-elliptic equation with singular nonlinearity on the Heisenberg group

0 references

Q3162662

0 references

Two solutions for an elliptic problem with two singular terms

0 references

Sublinear equations driven by Hörmander operators

0 references

Yamabe-type equations on Carnot groups

0 references

A Brezis-Nirenberg splitting approach for nonlocal fractional equations

0 references

Poincaré inequalities and compact embeddings from Sobolev type spaces into weighted $L^q$ spaces on metric spaces

0 references

Semilinear elliptic equations with singular nonlinearities

0 references

Stratified Lie Groups and Potential Theory for their Sub-Laplacians

0 references

Existence problems on Heisenberg groups involving Hardy and critical terms

0 references

Convexity properties of Dirichlet integrals and Picone-type inequalities

0 references

The second eigenvalue of the fractional $p$-Laplacian

0 references

A note on homogeneous Sobolev spaces of fractional order

0 references

Functional analysis, Sobolev spaces and partial differential equations

0 references

A Relation Between Pointwise Convergence of Functions and Convergence of Functionals

0 references

Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

0 references

Nonlocal problems with singular nonlinearity

0 references

An embedding theorem and the harnack inequality for nonlinear subelliptic equations

0 references

Boundary behavior of nonnegative solutions of subelliptic equations in NTA domains for Carnot-Carathéodory metrics

0 references

Strong comparison principle for 𝑝-harmonic functions in Carnot-Caratheodory spaces

0 references

Estimates of Dirichlet eigenvalues for a class of sub‐elliptic operators

0 references

Perturbation of the CR fractional Yamabe problem

0 references

Strong maximum principle for mean curvature operators on subRiemannian manifolds

0 references

On a dirichlet problem with a singular nonlinearity

0 references

Q4239832

0 references

Neuronal Oscillations in the Visual Cortex: $\Gamma$-Convergence to the Riemannian Mumford--Shah Functional

0 references

Sub-Riemannian calculus on hypersurfaces in Carnot groups

0 references

Estimates on translations and Taylor expansions in fractional Sobolev spaces

0 references

Nonlocal Harnack inequalities

0 references

Local behavior of fractional $p$-minimizers

0 references

Positive solutions for the <i>p</i>-Laplacian: application of the fibrering method

0 references

Regularity of solutions to the fractional Cheeger-Laplacian on domains in metric spaces of bounded geometry

0 references

Q5189317

0 references

An extension problem for the CR fractional Laplacian

0 references

Harnack inequality for fractional sub-Laplacians in Carnot groups

0 references

Q3969295

0 references

Q3194642

0 references

Nonlinear elliptic equations on Carnot groups

0 references

Quantization on nilpotent Lie groups

0 references

Subelliptic estimates and function spaces on nilpotent Lie groups

0 references

On the rothschild-stein lifting theorem

0 references

Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28

0 references

Inequalities between Dirichlet and Neumann Eigenvalues on the Heisenberg Group

0 references

Fractional p-eigenvalues

0 references

Singular subelliptic equations and Sobolev inequalities on Carnot groups

0 references

Q4024765

0 references

Regularity near the characteristic set in the nonlinear Dirichlet problem and conformal geometry of sub-Laplacians on Carnot groups.

0 references

Q4718347

0 references

Fractional conformal Laplacians and fractional Yamabe problems

0 references

Embeddings of the fractional Sobolev spaces on metric-measure spaces

0 references

Sobolev met Poincaré

0 references

An integral type Brezis-Nirenberg problem on the Heisenberg group

0 references

From Weyl quantization to modern algebraic index theory

0 references

Q3205756

0 references

Existence of multiple positive solutions for singular elliptic problems with concave and convex nonlinearities

0 references

Brezis-Nirenberg type theorems and multiplicity of positive solutions for a singular elliptic problem

0 references

The Yamabe problem on CR manifolds

0 references

Fractional logarithmic inequalities and blow-up results with logarithmic nonlinearity on homogeneous groups

0 references

Lyapunov-type inequalities for the fractional $p$-sub-Laplacian

0 references

Existence theorems of the fractional Yamabe problem

0 references

Nodal solutions for the fractional Yamabe problem on Heisenberg groups

0 references

Pointwise characterizations of Besov and Triebel-Lizorkin spaces and quasiconformal mappings

0 references

On a Singular Nonlinear Elliptic Boundary-Value Problem

0 references

Eigenvalue problems for the $p$-Laplacian

0 references

Fractional eigenvalues

0 references

On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0

0 references

What is the fractional Laplacian? A comparative review with new results

0 references

Semilinear subelliptic problems with critical growth on Carnot groups

0 references

Critical growth problems with singular nonlinearities on Carnot groups

0 references

Optimal decay of $p$-Sobolev extremals on Carnot groups

0 references

On the eigenvalues of a class of hypoelliptic operators

0 references

On Dirichlet problem for fractional $p$-Laplacian with singular non-linearity

0 references

Hitchhiker's guide to the fractional Sobolev spaces

0 references

Nonlocal Harnack inequalities in the Heisenberg group

0 references

Entire solutions for some critical equations in the Heisenberg group

0 references

Existence for singular critical exponential $(p,Q)$ equations in the Heisenberg group

0 references

Existence and multiplicity results for quasilinear equations in the Heisenberg group

0 references

Hypoelliptic differential operators and nilpotent groups

0 references

A remark on hypoellipticity of homogenious invariant differential operators on nilpotent lie gropus

0 references

Global existence and blow-up of solutions to porous medium equation and pseudo-parabolic equation. I. Stratified groups

0 references

A comparison principle for nonlinear heat Rockland operators on graded groups

0 references

Hardy inequalities on homogeneous groups. 100 years of Hardy inequalities

0 references

Green's identities, comparison principle and uniqueness of positive solutions for nonlinear $p$-sub-Laplacian equations on stratified Lie groups

0 references

Concentration phenomena for fractional CR Yamabe type flows

0 references

Best constants in Sobolev and Gagliardo-Nirenberg inequalities on graded groups and ground states for higher order nonlinear subelliptic equations

0 references

A comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups

0 references

Hardy's inequality for fractional powers of the sublaplacian on the Heisenberg group

0 references

Q2995197

0 references

Subelliptic equations with singular nonlinearities on the Heisenberg group

0 references

Properties of solutions to fractional $p$-subLaplace equations on the Heisenberg group

0 references

Properties for Nonlinear Fractional SubLaplace Equations on the Heisenberg Group

0 references

Q3572852

0 references

The role of the power 3 for elliptic equations with negative exponents

0 references

Dirichlet problems for linear and semilinear sub-Laplace equations on Carnot groups

0 references

Fractional Sobolev extension and imbedding

0 references

Identifiers

arXiv ID

2205.06007

0 references

DOI

10.1007/s00208-023-02609-7

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:6130303