Existence of entropy solutions for nonlinear elliptic degenerate anisotropic equations

• Autorzy: Yuliya Gorban
• Języki publikacji: EN

Abstrakty

EN

In the present article we deal with the Dirichlet problem for a class of degenerate anisotropic elliptic second-order equations with L1-right-hand sides in a bounded domain of ℝn(n ⩾ 2) . This class is described by the presence of a set of exponents q1,…, qn and a set of weighted functions ν1,…, νn in growth and coercitivity conditions on coefficients of the equations. The exponents qi characterize the rates of growth of the coefficients with respect to the corresponding derivatives of unknown function, and the functions νi characterize degeneration or singularity of the coefficients with respect to independent variables. Our aim is to investigate the existence of entropy solutions of the problem under consideration.

Słowa kluczowe

EN

Nonlinear elliptic degenerate anisotropic second-order equations; L1-data; Dirichlet problem; Existence of entropy solutions

Kategorie tematyczne

• 35J70: Degenerate elliptic equations
• 35J60: Nonlinear elliptic equations
• 35J25: Boundary value problems for second-order elliptic equations

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 768-786

Daty

wydano

2017-01-01

otrzymano

2016-11-06

zaakceptowano

2017-04-05

online

2017-06-09

Twórcy

autor

Yuliya Gorban

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Identyfikatory

DOI

10.1515/math-2017-0064