Functions locally almost 1-harmonic

DOI10.1080/00036810310001621369zbMath1135.35333OpenAlexW2007871858WikidataQ58247893 ScholiaQ58247893MaRDI QIDQ4656461

Francoise Demengel

Publication date: 11 March 2005

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810310001621369

zbMATH Keywords

BV functionsCacciopoli setsfunctions locally almost 1-harmonic

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05)

Related Items (25)

BV supersolutions to equations of 1-Laplace and minimal surface type ⋮ Monotonicity and symmetry of positive solution for 1-Laplace equation ⋮ The Dirichlet problem for a prescribed anisotropic mean curvature equation: existence, uniqueness and regularity of solutions ⋮ On the dual formulation of obstacle problems for the total variation and the area functional ⋮ Strauss' and Lions' type results in \(BV(\mathbb R^N)\) with an application to an 1-Laplacian problem ⋮ On the Cheeger problem for rotationally invariant domains ⋮ Existence of solution for a class of heat equation involving the 1-Laplacian operator ⋮ Existence of bounded variation solutions for a 1-Laplacian problem with vanishing potentials ⋮ A Berestycki–Lions type result for a class of problems involving the 1-Laplacian operator ⋮ DIRICHLET PROBLEMS FOR THE 1-LAPLACE OPERATOR, INCLUDING THE EIGENVALUE PROBLEM ⋮ Quasilinear elliptic systems involving the 1-Laplacian operator with subcritical and critical nonlinearities ⋮ On a generalized 1-harmonic equation and the inverse mean curvature flow ⋮ Dirichlet problems involving the 1-Laplacian ⋮ The Cheeger constant of curved tubes ⋮ Anisotropic 1-Laplacian problems with unbounded weights ⋮ On some nonlinear partial differential equations involving the 1-Laplacian ⋮ Extremal functions for an embedding from some anisotropic space, involving the ``one Laplacian ⋮ On 1-Laplacian elliptic equations modeling magnetic resonance image Rician denoising ⋮ Exact reconstruction of damaged color images using a total variation model ⋮ Quantitative lower bounds to the Euclidean and the Gaussian Cheeger constants ⋮ Some special aspects related to the 1-Laplace operator ⋮ Multiplicity of solutions for a class of quasilinear problems involving the \(1\)-Laplacian operator with critical growth ⋮ On the solutions to 1-Laplacian equation with \(L^1\) data ⋮ THE SPECTRUM OF THE 1-LAPLACE OPERATOR ⋮ Shape derivative of the Cheeger constant

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the semicontinuity and the relaxation for integrals with respect to the Lebesgue measure added to integrals with respect to a Radon measure
• Compactness theorems for spaces of functions with bounded derivatives and applications to limit analysis problems in plasticity
• Principal eigenvalues and Sturm comparison via Picone's identity
• Existence theorem for a minimum problem with free discontinuity set
• Quasilinear elliptic equations involving critical Sobolev exponents
• A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
• Relaxed energies for functionals on W1,1(B2, S1)
• Un espace fonctionnel pour les équations de la plasticité
• On Some Nonlinear Partial Differential Equations Involving the “1”-Laplacian and Critical Sobolev Exponent

This page was built for publication: Functions locally almost 1-harmonic