Potential estimates in Orlicz spaces

Martin Schechter

Vol. 133 (1988), No. 2, 381–399

DOI: 10.2140/pjm.1988.133.381

Abstract

We study estimates of the form

for u(x) ∈ C^∞(Rⁿ), where M₀(t), M(t) are convex functions and μ, ν are measures. We apply this inequality to the study of boundary value problems for quasilinear partial differential equations.

Mathematical Subject Classification 2000

Primary: 46E35

Secondary: 26D15, 35G30

Milestones

Received: 27 January 1987

Published: 1 June 1988