Existence and asymptotic properties for quasilinear elliptic equations with gradient dependence

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Abstract

The paper focuses on a Dirichlet problem driven by the (p,q)-Laplacian containing a parameter $\mu$ in the principalpart of the elliptic equation and a (convection) term fullydepending on the solution and its gradient. Existence of solutions,uniqueness, a priori estimates, and asymptotic properties as $\mu\to 0$ and $\mu\to \infty$ are established undersuitable conditions.
Lingua originaleEnglish
pagine (da-a)102-107
Numero di pagine6
RivistaApplied Mathematics Letters
Volume61
Stato di pubblicazionePublished - 2016

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All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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