The paper focuses on a Dirichlet problem driven by the (p,q)-Laplacian containing a parameter $mu$ in the principal part of the elliptic equation and a (convection) term fully depending on the solution and its gradient. Existence of solutions, uniqueness, a priori estimates, and asymptotic properties as $mu o 0$ and $mu o infty$ are established under suitable conditions.

Averna, D., Motreanu, D., Tornatore E (2016). Existence and asymptotic properties for quasilinear elliptic equations with gradient dependence. APPLIED MATHEMATICS LETTERS, 61, 102-107 [10.1016/j.aml.2016.05.009].

Existence and asymptotic properties for quasilinear elliptic equations with gradient dependence

AVERNA, Diego;TORNATORE, Elisabetta
2016-01-01

Abstract

The paper focuses on a Dirichlet problem driven by the (p,q)-Laplacian containing a parameter $mu$ in the principal part of the elliptic equation and a (convection) term fully depending on the solution and its gradient. Existence of solutions, uniqueness, a priori estimates, and asymptotic properties as $mu o 0$ and $mu o infty$ are established under suitable conditions.
2016
Settore MAT/05 - Analisi Matematica
Averna, D., Motreanu, D., Tornatore E (2016). Existence and asymptotic properties for quasilinear elliptic equations with gradient dependence. APPLIED MATHEMATICS LETTERS, 61, 102-107 [10.1016/j.aml.2016.05.009].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/214026
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