6533b851fe1ef96bd12a8eae

RESEARCH PRODUCT

Existence and asymptotic properties for quasilinear elliptic equations with gradient dependence

Diego AvernaDumitru MotreanuElisabetta Tornatore

subject

Dirichlet problemConvectionApplied Mathematics010102 general mathematicsMathematical analysis01 natural sciences(pq)-LaplacianTerm (time)010101 applied mathematicsElliptic curveQuasilinear elliptic equationSettore MAT/05 - Analisi Matematicagradient dependenceasymptotic propertiesPrincipal partA priori and a posterioriUniqueness0101 mathematicsLaplace operatorMathematics

description

Abstract The paper focuses on a Dirichlet problem driven by the ( p , q ) -Laplacian containing a parameter μ > 0 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 μ → 0 and μ → ∞ are established under suitable conditions.

yearjournalcountryeditionlanguage
2016-11-01
10.1016/j.aml.2016.05.009http://hdl.handle.net/10447/214026