- Publ. Mat.
- Volume 56, Number 2 (2012), 327-374.
Elliptic obstacle problems with measure data: Potentials and low order regularity
We consider obstacle problems with measure data related to elliptic equations of $p$-Laplace type, and investigate the connections between low order regularity properties of the solutions and non-linear potentials of the data. In particular, we give pointwise estimates for the solutions in terms of Wolff potentials and address the questions of boundedness and continuity of the solution.
Publ. Mat., Volume 56, Number 2 (2012), 327-374.
First available in Project Euclid: 19 June 2012
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35J87: Nonlinear elliptic unilateral problems and nonlinear elliptic variational inequalities [See also 35R35, 49J40] 35B65: Smoothness and regularity of solutions 31B35: Connections with differential equations
Secondary: 35R05: Partial differential equations with discontinuous coefficients or data 35R06: Partial differential equations with measure
Scheven, Christoph. Elliptic obstacle problems with measure data: Potentials and low order regularity. Publ. Mat. 56 (2012), no. 2, 327--374. https://projecteuclid.org/euclid.pm/1340127809