The paper develops a sub-supersolution approach for quasilinear elliptic equations driven by degenerated p-Laplacian and containing a convection term. The presence of the degenerated operator forces a substantial change to the functional setting of previous works. The existence and location of solutions through a sub-supersolution is established. The abstract result is applied to find nontrivial, nonnegative and bounded solutions.
Motreanu D., Tornatore E. (2021). Quasilinear dirichlet problems with degenerated p-laplacian and convection term. MATHEMATICS, 9(2), 1-12 [10.3390/math9020139].
Quasilinear dirichlet problems with degenerated p-laplacian and convection term
Tornatore E.Secondo
2021-01-01
Abstract
The paper develops a sub-supersolution approach for quasilinear elliptic equations driven by degenerated p-Laplacian and containing a convection term. The presence of the degenerated operator forces a substantial change to the functional setting of previous works. The existence and location of solutions through a sub-supersolution is established. The abstract result is applied to find nontrivial, nonnegative and bounded solutions.File in questo prodotto:
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