Geodesic
On the existence of nonnegative solutions to the Dirichlet boundary value problem for the $p$-Laplace equation in presence of external mass forces
Sibirskij žurnal industrialʹnoj matematiki, Tome 19 (2016) no. 1, pp. 82-93

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Consider the Dirichlet problem for an inhomogeneous $p$-Laplace equation with nonlinear source in presence of external mass forces, we obtain new sufficient conditions for the existence of a weak nonnegative bounded solution. The conditions are written in explicit form in terms of the data of the problem.
Mots-clés : $p$-Laplace equation
Keywords: regularized equation, a priori estimate. 
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     author = {Ar. S. Tersenov},
     title = {On the existence of nonnegative solutions to the {Dirichlet} boundary value problem for the $p${-Laplace} equation in presence of external mass forces},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {82--93},
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Ar. S. Tersenov. On the existence of nonnegative solutions to the Dirichlet boundary value problem for the $p$-Laplace equation in presence of external mass forces. Sibirskij žurnal industrialʹnoj matematiki, Tome 19 (2016) no. 1, pp. 82-93. http://geodesic.mathdoc.fr/item/SJIM_2016_19_1_a7/