Geodesic
On the Sub-Supersolution Approach for Dirichlet Problems driven by a (p(x), q(x))-Laplacian Operator with Convection Term
Minimax theory and its applications, Tome 6 (2021) no. 1
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The method of sub and super-solution is applied to obtain existence and location of solutions to a quasilinear elliptic problem with variable exponent and Dirichlet boundary conditions involving a nonlinear term f depending on solution and on its gradient. Under a suitable growth condition on the convection term f, the existence of at least one solution satisfying a priori estimate is obtained.
Mots-clés : (p(x), q(x))-Laplacian, Dirichlet problem, gradient dependence, sub-supersolution, positive solution 
@article{MTA_2021_6_1_a5,
     author = {Antonia Chinn{\`\i}},
     title = {On the {Sub-Supersolution} {Approach} for {Dirichlet} {Problems} driven by a (p(x), {q(x))-Laplacian} {Operator} with {Convection} {Term}},
     journal = {Minimax theory and its applications},
     year = {2021},
     volume = {6},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/MTA_2021_6_1_a5/}
}
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Antonia Chinnì. On the Sub-Supersolution Approach for Dirichlet Problems driven by a (p(x), q(x))-Laplacian Operator with Convection Term. Minimax theory and its applications, Tome 6 (2021) no. 1. http://geodesic.mathdoc.fr/item/MTA_2021_6_1_a5/