scholarly journals Hölder continuity of solutions to quasilinear elliptic equations with measure data

2019 ◽  
Author(s):  
Takayori Ono
Keyword(s):  
Elliptic Equations ◽  
Hölder Continuity ◽  
Quasilinear Elliptic Equations ◽  
Measure Data ◽  
Holder Continuity ◽  
Continuity Of Solutions ◽  
Quasilinear Elliptic

scholarly journals Global W1,p(·) estimate for renormalized solutions of quasilinear equations with measure data on Reifenberg domains

2018 ◽  
Vol 7 (4) ◽  
pp. 517-533 ◽  
Author(s):  
The Anh Bui
Keyword(s):  
Elliptic Equations ◽  
Variable Exponent ◽  
Quasilinear Elliptic Equations ◽  
Measure Data ◽  
Renormalized Solutions ◽  
Lebesgue Spaces ◽  
Quasilinear Equations ◽  
Bmo Coefficients ◽  
Reifenberg Flat ◽  
Quasilinear Elliptic

AbstractIn this paper, we prove the gradient estimate for renormalized solutions to quasilinear elliptic equations with measure data on variable exponent Lebesgue spaces with BMO coefficients in a Reifenberg flat domain.

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