On the Existence of Radially Symmetric Solutions for the $ p $-Laplace Equation with Strong Gradient Nonlinearities

Abstract We consider the Dirichlet problem for the $ p $ -Laplace equation in presence of a gradient not satisfying the Bernstein–Nagumo type condition. We define some class of gradient nonlinearities, for which we prove the existence of a radially symmetric solution with a Hölder continuous derivative.

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