Entropy solutions for nonhomogeneous anisotropic $\varDelta _{\vec{p}(\cdot )}$ problems
Volume 41 / 2014
Applicationes Mathematicae 41 (2014), 149-163
MSC: Primary 35J25; Secondary 35J92, 35J62, 46E35.
DOI: 10.4064/am41-2-3
Abstract
We study a class of anisotropic nonlinear elliptic equations with variable exponent $\vec {p}(\cdot )$ growth. We obtain the existence of entropy solutions by using the truncation technique and some a priori estimates.
