scholarly journals An efficient method for solving highly anisotropic elliptic equations

2011 ◽  
Vol 230 (23) ◽  
pp. 8342-8359 ◽  
Author(s):  
Edward Santilli ◽  
Alberto Scotti
Keyword(s):  
Efficient Method ◽  
Elliptic Equations ◽  
Anisotropic Elliptic Equations

scholarly journals Entropy and renormalized solutions for some nonlinear anisotropic elliptic equations with variable exponents and L 1-data

2021 ◽  
Vol 7 (2) ◽  
pp. 277-298
Author(s):  
Mostafa El Moumni ◽  
Deval Sidi Mohamed
Keyword(s):  
Elliptic Equations ◽  
Nonlinear Elliptic Equations ◽  
Variable Exponents ◽  
Renormalized Solutions ◽  
Nonlinear Elliptic ◽  
Anisotropic Elliptic Equations

Abstract We prove in this paper some existence and unicity results of entropy and renormalized solutions for some nonlinear elliptic equations with general anisotropic diffusivities and variable exponents. The data are assumed to be merely integrable.

Eigenvalue problems for anisotropic elliptic equations: An Orlicz–Sobolev space setting

2010 ◽  
Vol 73 (10) ◽  
pp. 3239-3253 ◽  
Author(s):  
Mihai Mihăilescu ◽  
Gheorghe Moroşanu ◽  
Vicenţiu Rădulescu
Keyword(s):  
Sobolev Space ◽  
Elliptic Equations ◽  
Eigenvalue Problems ◽  
Space Setting ◽  
Anisotropic Elliptic Equations
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