scholarly journals Existence results and a priori bounds for higher order elliptic equations and systems

2008 ◽  
Vol 89 (2) ◽  
pp. 114-133 ◽  
Author(s):  
Boyan Sirakov
Keyword(s):  
Elliptic Equations ◽  
A Priori ◽  
Higher Order ◽  
Existence Results ◽  
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 Existence Results for Stochastic Semilinear Differential Inclusions with Nonlocal Conditions

2011 ◽  
Vol 2011 ◽  
pp. 1-17
Author(s):  
A. Vinodkumar ◽  
A. Boucherif
Keyword(s):  
Differential Inclusions ◽  
Fixed Point Theorems ◽  
Mild Solutions ◽  
A Priori ◽  
Nonlocal Conditions ◽  
Sufficient Conditions ◽  
Existence Results ◽  
A Priori Bounds ◽  
Stochastic Differential Inclusions ◽  
Multivalued Operators

We discuss existence results of mild solutions for stochastic differential inclusions subject to nonlocal conditions. We provide sufficient conditions in order to obtain a priori bounds on possible solutions of a one-parameter family of problems related to the original one. We, then, rely on fixed point theorems for multivalued operators to prove our main results.

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.

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