Uniqueness for quasilinear elliptic problems in a two-component domain with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e36" altimg="si15.svg"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math> data
نویسندگان
چکیده
In the present paper, we prove uniqueness of renormalized solution class quasilinear elliptic problems with L1 data given by −div(B(x,u1)∇u1)=finΩ1,−div(B(x,u2)∇u2)=finΩ2,u1=0on∂Ω,(B(x,u1)∇u1)ν1=(B(x,u2)∇u2)ν1onΓ,(B(x,u1)∇u1)ν1=−h(x)(u1−u2)onΓ.The open sets Ω1 and Ω2, Γ as interface between them, are two components domain Ω. The f is in L1(Ω). addition to uniform ellipticity, also prescribe assumption that matrix field B locally Lipschitz continuous respect second variable.
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ژورنال
عنوان ژورنال: Nonlinear Analysis-theory Methods & Applications
سال: 2021
ISSN: ['1873-5215', '0362-546X']
DOI: https://doi.org/10.1016/j.na.2021.112406