MMN-4783
\overrightarrow{p}(ยท)-Anisotropic degenerate elliptic equations having natural exponential function
Mokhtar Naceri;Abstract
In this work we prove existence results for distributional solutions
of anisotropic nonlinear elliptic equations with variable growth, $L^1$ data, and degenerate coercivity having natural exponential function, where the nonlinear anisotropic differential operator is well defined between $\overrightarrow{p}(x)-$anisotropic Sobolev space $\mathring{W}^{1,\overrightarrow{p}(\cdot)}(\Omega)$ and its dual but it fails to be coercive if $|u|$ is large (i.e $e^{|u|}$ is large).
Vol. 26 (2025), No. 2, pp. 955-971