We consider a regularity estimate for a solution of the homogeneous Dirichlet problem for N-Laplace equations in a bounded domain ω ⊆ ℝN with external force f ∈ L1(Ω). Introducing the generalized Lorentz-Zygmund space, we show the multiple exponential integrability of the Brezis-Merle type for an entropy solution of the Dirichlet problem of the N-Laplace equation. We also discuss conditions on f that guarantee the solutions are bounded.
|Number of pages||24|
|Journal||Differential and Integral Equations|
|Publication status||Published - 2009 May 1|
ASJC Scopus subject areas
- Applied Mathematics