On semilinear equations with free boundary conditions on stratified Lie groups

DOI10.1016/j.jmaa.2022.126677zbMath1498.35257arXiv2209.06527OpenAlexW4295540155WikidataQ115345798 ScholiaQ115345798MaRDI QIDQ2084875

Debajyoti Choudhuri, Dušan D. Repovš

Publication date: 13 October 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.06527

zbMATH Keywords

sub-Laplacianstratified Lie groupDirichlet free boundary value problem

Mathematics Subject Classification ID

Free boundary problems for PDEs (35R35) Semilinear elliptic equations (35J61) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items

An elliptic problem of the Prandtl-Batchelor type with a singularity

Cites Work

• Unnamed Item
• Layer potentials, Kac's problem, and refined Hardy inequality on homogeneous Carnot groups
• New trends in free boundary problems
• Density estimates for a fluid jet model in the Heisenberg group
• Subelliptic estimates and function spaces on nilpotent Lie groups
• Partial regularity for a minimum problem with free boundary
• Elliptic partial differential equations of second order
• Some new monotonicity theorems with applications to free boundary problems.
• Higher critical points in an elliptic free boundary problem
• Weighted Sobolev spaces and boundary behavior of solutions to degenerate hypoelliptic equations
• Sobolev spaces and hypoelliptic equations
• On a class of elliptic free boundary problems with multiple solutions
• Mean value property and harmonicity on Carnot-Carathéodory groups
• Radon–Nikodym Property and Area Formula for Banach Homogeneous Group Targets
• On steady laminar flow with closed streamlines at large Reynolds number
• A proposal concerning laminar wakes behind bluff bodies at large Reynolds number
• A Geometric Description of the Neighbourhood of a Critical Point Given by the Mountain-Pass Theorem
• An embedding theorem and the harnack inequality for nonlinear subelliptic equations
• Variational problems with two phases and their free boundaries
• Partial regularity for weak solutions of an elliptic free boundary problem
• Sobolev met Poincaré
• Nonlinear Analysis - Theory and Methods
• Global energy minimizers for free boundary problems and full regularity in three dimensions
• Regularity at the boundary for solutions of nonlinear subelliptic equations
• Variational Formulas on Lipschitz Domains
• Estimates of Dirichlet eigenvalues for a class of sub‐elliptic operators
• Subelliptic variational problems