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

We study the Dirichlet problem for an elliptic equation with the $ p(|x|) $ -Laplacian and lower-order terms that do not satisfy the Bernstein–Nagumo condition. Under the assumption that $ p(|x|) $ is a continuously differentiable nonincreasing function, we prove the existence of a weak radially symmetric solution whose derivative is Hölder continuous.