A semilinear problem with a W^{1,1}_0 solution

TL;DR

This paper investigates a degenerate elliptic equation and establishes the existence of a solution within the W^{1,1}_0 space, contributing to the understanding of such equations in the context of degenerate elliptic problems.

Contribution

It proves the existence of a W^{1,1}_0 distributional solution for a specific class of degenerate elliptic equations, advancing theoretical knowledge.

Findings

Existence of a W^{1,1}_0 distributional solution for the problem

Extension of solution theory to degenerate elliptic equations

New insights into the regularity of solutions in degenerate cases

Abstract

We study a degenerate elliptic equation, proving the existence of a W^{1,1}_0 distributional solution.