scholarly journals An Application of Potential Estimates to A Priori Bounds for Elliptic Equations

2016 ◽  
Vol 2016 ◽  
pp. 1-6
Author(s):  
Farman Mamedov ◽  
Sara Monsurrò ◽  
Maria Transirico
Keyword(s):  
Elliptic Equations ◽  
A Priori ◽  
Dirichlet Problems ◽  
A Priori Bounds ◽  
Potential Estimate

A potential estimate type approach is used in order to obtain some a priori bounds for the solutions of certain classes of Dirichlet problems associated with nondivergence structure elliptic equations.

scholarly journals A-priori bounds and existence for solutions of weighted elliptic equations with a convection term

2017 ◽  
Vol 6 (4) ◽  
pp. 427-445 ◽  
Author(s):  
Ky Ho ◽  
Inbo Sim
Keyword(s):  
Elliptic Equations ◽  
Neumann Boundary Condition ◽  
Existence Of Solutions ◽  
A Priori ◽  
Neumann Boundary ◽  
Variable Exponents ◽  
Convection Term ◽  
Pseudomonotone Operators ◽  
A Priori Bounds ◽  
Localization Method

AbstractWe investigate weighted elliptic equations containing a convection term with variable exponents that are subject to Dirichlet or Neumann boundary condition. By employing the De Giorgi iteration and a localization method, we give a-priori bounds for solutions to these problems. The existence of solutions is also established using Brezis’ theorem for pseudomonotone operators.

scholarly journals A priori bounds for superlinear elliptic equations with semidefinite nonlinearity

2017 ◽  
Vol 151 ◽  
pp. 18-40
Author(s):  
Yūki Naito ◽  
Takashi Suzuki ◽  
Yohei Toyota
Keyword(s):  
Elliptic Equations ◽  
A Priori ◽  
A Priori Bounds
Sign in / Sign up

Export Citation Format

Share Document