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

Abstract

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.

Identifiers

DOI

10.1134/s0037446623060162

Citations and references