Differential and Integral Equations

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

Carsten Ebmeyer and Jens Frehse

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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

Permanent link to this document
https://projecteuclid.org/euclid.die/1356123192

Mathematical Reviews number (MathSciNet)
MR1828325

Zentralblatt MATH identifier
1021.35037

Subjects
Primary: 35J60: Nonlinear elliptic equations
Secondary: 35J20: Variational methods for second-order elliptic equations 35J25: Boundary value problems for second-order elliptic equations 35J65: Nonlinear boundary value problems for linear elliptic equations

Citation

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


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