Remarks on a Finsler-Laplacian

From MaRDI portal
Publication:3600605

DOI10.1090/S0002-9939-08-09554-3zbMath1161.35017OpenAlexW1984255712MaRDI QIDQ3600605

Vincenzo Ferone, Bernhard Kawohl

Publication date: 5 February 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-08-09554-3




Related Items (53)

A priori estimates and blow-up behavior for solutions of \(-Q_Nu = Ve^u\) in bounded domain in \(\mathbb R^N\)Weighted Finsler trace Hardy inequality on half spacesSeries expansion of weighted Finsler-Kato-Hardy inequalitiesAnisotropic elliptic equations with general growth in the gradient and Hardy-type potentialsAnisotropic Trudinger-Moser inequalities associated with the exact growth in \({\mathbb{R}}^N\) and its maximizersComparison results for nonlinear equations involving A-harmonic operatorMaximum principles, Liouville-type theorems and symmetry results for a general class of quasilinear anisotropic equationsExtremal functions of Moser-Trudinger inequality involving Finsler-LaplacianAsymptotic behavior of least energy solutions to the Finsler Lane-Emden problem with large exponentsOn an anisotropic \(p\)-Laplace equation with variable singular exponentSome qualitative properties of Finsler \(p\)-LaplacianHardy inequalities for Finsler \(p\)-Laplacian in the exterior domainA note on improved differentiability for the Banach-space valued Finsler \(\gamma\)-LaplacianFinsler Hardy inequalitiesAn improved Trudinger-Moser inequality involving \(N\)-Finsler-Laplacian and \(L^p\) normBest constants and existence of maximizers for anisotropic weighted Moser-Trudinger inequalities in \(\mathbb{R}^N\)Wulff shape symmetry of solutions to overdetermined problems for Finsler Monge-Ampère equationsAnisotropic Moser-Trudinger inequality involving \(L^n\) norm in the entire space \(\mathbb{R}^n\)On a class of weighted anisotropic \(p\)-Laplace equation with singular nonlinearityGeometric properties for a Finsler Bernoulli exterior problemSharp anisotropic singular Trudinger-Moser inequalities in the entire spaceGeneral framework to construct local-energy solutions of nonlinear diffusion equations for growing initial dataOn a free boundary problem for a class of anisotropic equationsConcentration-compactness principle of singular Trudinger–Moser inequality involving N-Finsler–Laplacian operatorBlow-up analysis of a Finsler-Liouville equation in two dimensionsFaber-Krahn inequality for anisotropic eigenvalue problems with Robin boundary conditionsMoser-Trudinger inequality involving the anisotropic Dirichlet norm \((\int_\Omega F^N(\nabla u) d x)^{\frac{1}{N}}\) on \(W_0^{1, N}(\Omega)\)Combination and mean width rearrangements of solutions to elliptic equations in convex setsAn overdetermined problem for the anisotropic capacitySingular Finsler double phase problems with nonlinear boundary conditionSharp bounds for the first eigenvalue and the torsional rigidity related to some anisotropic operatorsPartial regularity for weak solutions of anisotropic Lane-Emden equationAn existence result for singular Finsler double phase problemsCaccioppoli-type estimates for a class of nonlinear differential operatorsComparison principles for infinity-Laplace equations in Finsler metricsOn the anisotropic Moser-Trudinger inequality for unbounded domains in \(\mathbb{R}^n\)Partial regularity and Liouville theorems for stable solutions of anisotropic elliptic equationsAn overdetermined problem associated to the Finsler LaplacianA free boundary problem with multiple boundaries for a general class of anisotropic equationsAn overdetermined problem of anisotropic equations in convex conesHarnack inequality and an asymptotic mean-value property for the Finsler infinity-LaplacianOverdetermined anisotropic elliptic problemsSingular Poisson equations on Finsler-Hadamard manifoldsAnisotropic Moser-Trudinger inequality involving \(L^n\) normExtremal solution and Liouville theorem for anisotropic elliptic equationsGradient estimates for the perfect conductivity problem in anisotropic mediaCaccioppoli estimates through an anisotropic Picone’s identityNonexistence Results for Nonlocal Equations with Critical and Supercritical NonlinearitiesThe Cauchy problem for the Finsler heat equationExistence of solutions for the Finsler-Liouville type equation in two dimensionsTwo inequalities for the first Robin eigenvalue of the Finsler LaplacianMonotonicity formulae and classification results for singular, degenerate, anisotropic PDEsA Schechter type critical point result in annular conical domains of a Banach space and applications



Cites Work


This page was built for publication: Remarks on a Finsler-Laplacian