scholarly journals Ergodic problems and periodic homogenization for fully nonlinear equations in half-space type domains with Neumann boundary conditions

2008 ◽  
Vol 57 (5) ◽  
pp. 2355-2376 ◽  
Author(s):  
G. Barles ◽  
F. Da Lio ◽  
P.-L. Lions ◽  
P. E. Souganidis
Keyword(s):  
Boundary Conditions ◽  
Half Space ◽  
Nonlinear Equations ◽  
Neumann Boundary ◽  
Neumann Boundary Conditions ◽  
Periodic Homogenization ◽  
Fully Nonlinear Equations ◽  
Fully Nonlinear

scholarly journals EXISTENCE OF POSITIVE SOLUTION FOR A QUASI-LINEAR PROBLEM WITH CRITICAL GROWTH IN N+

2009 ◽  
Vol 51 (2) ◽  
pp. 367-383 ◽  
Author(s):  
CLAUDIANOR O. ALVES ◽  
ANGELO R. F. DE HOLANDA ◽  
JOSÉ A. FERNANDES
Keyword(s):  
Boundary Conditions ◽  
Critical Exponent ◽  
Positive Solution ◽  
Half Space ◽  
Positive Solutions ◽  
Linear Problem ◽  
Neumann Boundary ◽  
Neumann Boundary Conditions ◽  
Existence Of Positive Solutions ◽  
Linear Problems

AbstractIn this paper we show existence of positive solutions for a class of quasi-linear problems with Neumann boundary conditions defined in a half-space and involving the critical exponent.

scholarly journals Convergence Rates in a Weighted Fučik Problem

2014 ◽  
Vol 14 (2) ◽  
Author(s):  
Ariel Martin Salort
Keyword(s):  
Boundary Conditions ◽  
Rate Of Convergence ◽  
Convergence Rates ◽  
Neumann Boundary ◽  
Neumann Boundary Conditions ◽  
Periodic Homogenization ◽  
Special Case

AbstractIn this work we consider the Fučik problem for a family of weights depending on ε with Dirichlet and Neumann boundary conditions. We study the homogenization of the spectrum. We also deal with the special case of periodic homogenization and we obtain the rate of convergence of the first non-trivial curve of the spectrum.

scholarly journals Blow-up analyses in nonlocal reaction diffusion equations with time-dependent coefficients under Neumann boundary conditions

2020 ◽  
Vol 18 (1) ◽  
pp. 1552-1564
Author(s):  
Huimin Tian ◽  
Lingling Zhang
Keyword(s):  
Boundary Conditions ◽  
Blow Up ◽  
Sufficient Conditions ◽  
Neumann Boundary ◽  
Reaction Diffusion ◽  
Neumann Boundary Conditions ◽  
Reaction Diffusion Equations ◽  
Time Dependent ◽  
Diffusion Equations ◽  
Nonlocal Reaction

Abstract In this paper, the blow-up analyses in nonlocal reaction diffusion equations with time-dependent coefficients are investigated under Neumann boundary conditions. By constructing some suitable auxiliary functions and using differential inequality techniques, we show some sufficient conditions to ensure that the solution u ( x , t ) u(x,t) blows up at a finite time under appropriate measure sense. Furthermore, an upper and a lower bound on blow-up time are derived under some appropriate assumptions. At last, two examples are presented to illustrate the application of our main results.

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