This paper is concerned with boundary and corner layer behavior of the singularly perturbed Robin boundary value problem（RP） for the second-order nonlinear differential equations. The existence and asymptotic estima...This paper is concerned with boundary and corner layer behavior of the singularly perturbed Robin boundary value problem（RP） for the second-order nonlinear differential equations. The existence and asymptotic estimate of solutions of （RP） is discussed by appropriately constructing the bounding functions and using the theorv of differential inequality.展开更多
The eigenvalue problem for the p-Laplace operator with Robin boundary conditions is considered in this paper. A Faber-Krahn type inequality is proved. More precisely, it is shown that amongst all the domains of fixed ...The eigenvalue problem for the p-Laplace operator with Robin boundary conditions is considered in this paper. A Faber-Krahn type inequality is proved. More precisely, it is shown that amongst all the domains of fixed volume, the ball has the smallest first eigenvalue.展开更多
A class of nonlinear predator-prey singularly perturbed Robin problems for reaction diffusion systems are considered. Under suitable conditions, using the theory of differential inequalities the existence and asymptot...A class of nonlinear predator-prey singularly perturbed Robin problems for reaction diffusion systems are considered. Under suitable conditions, using the theory of differential inequalities the existence and asymptotic behavior of solution for the initial boundary value problems are studied.展开更多
基金Supported by the National Natural Science Foundation of China(40876010,49906013)the Strategic Priority Research Program-Climate Change:Carbon Budget and Relevant Issues of the Chinese Academy of Science(XDA01020304)+1 种基金the Natural Science Foundation of Jiangsu Province(BK20110420)the Natural Science Foundation from the Education Bureau of Anhui Province(KJ2010A128,KJ2010B360)
文摘This paper is concerned with boundary and corner layer behavior of the singularly perturbed Robin boundary value problem（RP） for the second-order nonlinear differential equations. The existence and asymptotic estimate of solutions of （RP） is discussed by appropriately constructing the bounding functions and using the theorv of differential inequality.
基金the National Natural Science Foundation of China (40531006 and 10471039)the National Key Project for Basics Research (2003CB415101-03 and 2004CB418304)+1 种基金the Key Project of the Chinese Academy of Sciences (KZCX3-SW-221)in part by E-Insitutes of Shanghai Municipal Education Commission (N.E03004).
基金Supported by the National Natural Science Foundation of China (No. 10671064 and No.10971061)the Program for Science and Technology Innovative Research Team in Higher Educational Institutions of Hunan Province
文摘The eigenvalue problem for the p-Laplace operator with Robin boundary conditions is considered in this paper. A Faber-Krahn type inequality is proved. More precisely, it is shown that amongst all the domains of fixed volume, the ball has the smallest first eigenvalue.
基金Supported by the National Natural Science Foundation of China (90111011 and 10471039)the National Key Project for Basics Research (2003CB415101-03 and 2004CB418304)the Key Project of the Chinese Academy of Sciences (KZCX3-SW-221)in part by E-Insitutes of Shanghai Municipal Education Commission (N.E03004) and the Natural Science Foundation of Zhejiang (Y604127).
文摘A class of nonlinear predator-prey singularly perturbed Robin problems for reaction diffusion systems are considered. Under suitable conditions, using the theory of differential inequalities the existence and asymptotic behavior of solution for the initial boundary value problems are studied.
