Based on a new semi empirical analytical method, namely equivalent doping transformation, the breakdown voltage and the peak field of the epitaxial diffused punch through junction have been obtained. The basic prin...Based on a new semi empirical analytical method, namely equivalent doping transformation, the breakdown voltage and the peak field of the epitaxial diffused punch through junction have been obtained. The basic principle of this method is introduced and a set of breakdown voltage and peak field plots are provided for the optimum design of the low voltage power devices. It shows that the analytical results coincide with the previous numerical simulation well.展开更多
We study the existence of positive solutions of a population model with diffusion of the form {-△pu=aup-1-f（u）-c/ua,x∈Ω,u=0,x∈Ω where △p denotes the p-Laplacian operator defined by △pz =div（｜z｜P-2z）, p 〉...We study the existence of positive solutions of a population model with diffusion of the form {-△pu=aup-1-f（u）-c/ua,x∈Ω,u=0,x∈Ω where △p denotes the p-Laplacian operator defined by △pz =div（｜z｜P-2z）, p 〉 1, Ω is a bounded domain of RN with smooth boundary, α∈ C （0, 1）, a and e are positive constants. Here f ： [0, ∞） → R is a continuous function. This model arises in the studies of population biology of one species with u representing the concentration of the species. We discuss the existence of positive solution when f satisfies certain additional conditions. We use the method of sub- and super-solutions to establish our results.展开更多
文摘Based on a new semi empirical analytical method, namely equivalent doping transformation, the breakdown voltage and the peak field of the epitaxial diffused punch through junction have been obtained. The basic principle of this method is introduced and a set of breakdown voltage and peak field plots are provided for the optimum design of the low voltage power devices. It shows that the analytical results coincide with the previous numerical simulation well.
文摘We study the existence of positive solutions of a population model with diffusion of the form {-△pu=aup-1-f（u）-c/ua,x∈Ω,u=0,x∈Ω where △p denotes the p-Laplacian operator defined by △pz =div（｜z｜P-2z）, p 〉 1, Ω is a bounded domain of RN with smooth boundary, α∈ C （0, 1）, a and e are positive constants. Here f ： [0, ∞） → R is a continuous function. This model arises in the studies of population biology of one species with u representing the concentration of the species. We discuss the existence of positive solution when f satisfies certain additional conditions. We use the method of sub- and super-solutions to establish our results.
