A Multiplicity Result for a Non-Homogeneous Subelliptic Problem with Sobolev Exponent (Q5011317)

scientific article; zbMATH DE number 7387343

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English	A Multiplicity Result for a Non-Homogeneous Subelliptic Problem with Sobolev Exponent	scientific article; zbMATH DE number 7387343

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instance of

scholarly article

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title

A Multiplicity Result for a Non-Homogeneous Subelliptic Problem with Sobolev Exponent (English)

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author

Annunziata Loiudice

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published in

Trends in Mathematics

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publication date

27 August 2021

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zbMATH Keywords

non-homogeneous problem

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critical Sobolev exponent

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sub-Laplacian on a Carnot group

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-030-58215-9_4

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cites work

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Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

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Multiple positive solutions for a semilinear equation with critical exponent and prescribed singularity

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Multiple non-negative solutions to a semilinear equation on Heisenberg group with indefinite nonlinearity

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Sharp Hardy-Littlewood-Sobolev inequalities on the octonionic Heisenberg group

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Semilinear Dirichlet problem involving critical exponent for the Kohn Laplacian

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Subelliptic and parametric equations on Carnot groups

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Quantization on nilpotent Lie groups

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Subelliptic estimates and function spaces on nilpotent Lie groups

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

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Sharp constants in several inequalities on the Heisenberg group

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A multiplicity result for a degenerate elliptic equation with critical growth on noncontractible domains

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Q4024765

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Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces

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

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Classical Fourier Analysis

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The optimal constant in the L2 Folland-Stein inequality on the quaternionic Heisenberg group

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Critical polyharmonic problems with singular nonlinearities

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Multiple solutions for inhomogeneous elliptic problems involving critical Sobolev-Hardy exponents

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Non-existence results for semilinear kohn-laplace equations in unbounded domains

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\(L^p\)-weak regularity and asymptotic behavior of solutions for critical equations with singular potentials on Carnot groups

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Asymptotic estimates and nonexistence results for critical problems with Hardy term involving Grushin-type operators

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Multiplicity result for a nonhomogeneous Yamabe type equation involving the Kohn Laplacian

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Yamabe-type equations on Carnot groups

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Q2826952

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Critical Schrödinger-Hardy systems in the Heisenberg group

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Layer potentials, Kac's problem, and refined Hardy inequality on homogeneous Carnot groups

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Hardy inequalities on homogeneous groups. 100 years of Hardy inequalities

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Caffarelli-Kohn-Nirenberg and Sobolev type inequalities on stratified Lie groups

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Extended Caffarelli-Kohn-Nirenberg inequalities, and remainders, stability, and superweights for 𝐿^{𝑝}-weighted Hardy inequalities

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Positive solutions of nonhomogeneous fractional Laplacian problem with critical exponent

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On nonhomogeneous elliptic equations involving critical Sobolev exponent

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Existence of solutions and regularity near the characteristic boundary for sub-Laplacian equations on Carnot groups

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Identifiers

zbMATH Open document ID

1471.35094

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DOI

10.1007/978-3-030-58215-9_4

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5011317