Positive solutions for nonvariational Robin problems

Abstract

We study a nonlinear Robin problem driven by the $p$-Laplacian and with a reaction term depending on the gradient (the convection term). Using the theory of nonlinear operators of monotone-type and the asymptotic analysis of a suitable perturbation of the original equation, we show the existence of a positive smooth solution.

References in corpus (1)

• Nonlinear elliptic inclusions with unilateral constraint and dependence on the gradient