March 27, 2024Open Access

Analysis of solution to an elliptic free boundary value problem equipped with a `bad' data

Key Points

Key points are not available for this paper at this time.

Abstract

We will study a free boundary value problem driven by a source term which is quite irregular. In the process, we will establish a monotonicity result, and regularity of the solution.

Read Full Paperexternally

Bookmark

View Full Paper

Cite This Study

Debajyoti Choudhuri (Wed,) studied this question.

synapsesocial.com/papers/68e7230db6db64358769d337 https://doi.org/https://doi.org/10.48550/arxiv.2403.18273

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1An Elliptic-Parabolic Free Boundary Problem with Discontinuous Data2025
2On a localization-in-frequency approach for a class of elliptic problems with singular boundary data2024
3Boundary regularity of solutions to variable-exponent degenerate mixed elliptic equations2026
4Universal regularity estimates for solutions to fully nonlinear elliptic equations with oblique boundary data2024
5Boundary pointwise regularity for fully nonlinear parabolic equations and application to the regularity of free boundaries2026

Bookmark

View Full Paper