Equivalence between uniform $L^{2^\star}(\Omega)$ a-priori bounds and uniform $L^{\infty}(\Omega)$ a-priori bounds for subcritical elliptic equations

2019 ◽  
pp. 1
Author(s):  
Alfonso Castro ◽  
Nsoki Mavinga ◽  
Rosa Pardo
Keyword(s):  
Elliptic Equations ◽  
A Priori ◽  
A Priori Bounds

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

scholarly journals A Priori Bounds in and in for Solutions of Elliptic Equations

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Sara Monsurrò ◽  
Maria Transirico
Keyword(s):  
Dirichlet Problem ◽  
Elliptic Equations ◽  
A Priori ◽  
Unbounded Domains ◽  
Variational Problems ◽  
Discontinuous Coefficients ◽  
Elliptic Partial Differential Equations ◽  
Divergence Form ◽  
A Priori Bounds ◽  
A Priori Bound

We give an overview on some recent results concerning the study of the Dirichlet problem for second-order linear elliptic partial differential equations in divergence form and with discontinuous coefficients, in unbounded domains. The main theorem consists in an -a priori bound, . Some applications of this bound in the framework of non-variational problems, in a weighted and a non-weighted case, are also given.

A priori bounds for elliptic equations

1997 ◽  
Vol 30 (8) ◽  
pp. 5457-5461
Author(s):  
E. Lemus ◽  
P. Padilla
Keyword(s):  
Elliptic Equations ◽  
A Priori ◽  
A Priori Bounds
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