On semilinear equations with free boundary conditions on stratified Lie groups

Debajyoti Choudhuri; Dušan D. Repovš

doi:10.1016/j.jmaa.2022.126677

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arXiv · 2209.06527

On semilinear equations with free boundary conditions on stratified Lie groups

Debajyoti Choudhuri·Dušan D. Repovš

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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.

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Debajyoti Choudhuri, Dušan D. Repovš. 2022-09-14. On semilinear equations with free boundary conditions on stratified Lie groups. https://doi.org/10.1016/j.jmaa.2022.126677

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