On semilinear equations with free boundary conditions on stratified Lie groups

Abstract

In this paper we establish existence of a solution to a semilinear equation with free boundary conditions on stratified Lie groups. In the process, a monotonicity condition is proved, which is quintessential in establishing the regularity of the solution.

References in corpus (1)

• Compact Embeddings, Eigenvalue Problems, and subelliptic Brezis-Nirenberg equations involving singularity on stratified Lie groups

Cited by in corpus (3)

• An elliptic problem of the Prandtl-Batchelor type with a singularity
• A nonlocal elliptic problem on a Heisenberg group
• A multiphase eigenvalue problem on a stratified Lie group