What question did this study set out to answer?

The aim is to prove the existence of weak radially symmetric solutions for a specific Dirichlet problem.

On Radially Symmetric Solutions to the Dirichlet Problem for an Elliptic Equation with the p (|x|) -Laplacian

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Analysis reveals weak radially symmetric solutions to elliptic equations, indicating broader applicability of nonincreasing functions.

The aim is to prove the existence of weak radially symmetric solutions for a specific Dirichlet problem.
Studied an elliptic equation involving the p(|x|)-Laplacian
Analyzed conditions related to lower-order terms
Assumed p(|x|) is continuously differentiable and nonincreasing
Proved existence of weak radially symmetric solutions
Demonstrated that the derivative of solutions is Hölder continuous

Tersenov et al. (2026) studied this question.

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