## Differential and Integral Equations

### Mixed boundary value problems for nonlinear elliptic equations with $p$-structure in nonsmooth domains

#### Abstract

Nonlinear partial differential equations with $p$--structure for $1 <p <\infty$ are investigated under mixed boundary value conditions on $n$-dimensional domains with a piecewise-smooth boundary. $L^q(\Omega)$--properties of the first derivatives of weak solutions in Sobolev and in Morrey spaces are proven.

#### Article information

Source
Differential Integral Equations, Volume 14, Number 7 (2001), 801-820.

Dates
First available in Project Euclid: 21 December 2012

Ebmeyer, Carsten; Frehse, Jens. Mixed boundary value problems for nonlinear elliptic equations with $p$-structure in nonsmooth domains. Differential Integral Equations 14 (2001), no. 7, 801--820. https://projecteuclid.org/euclid.die/1356123192