一类拟线性椭圆方程非平凡广义解的存在性

该文讨论了下列拟线性椭圆方程的Dirichlet问题在一类Orlicz-Sobolev 空间中非平凡解的存在性 { -div(a(| u(x)|) u(x))=g(x, u), x∈Ω, u(x)=0,x∈∂Ω. 其中Ω 是 Rⁿ 中光滑的有界区域.Φ 和 g 满足一定条件时, 利用推广的山路引理证明了上述Dirichlet 问题存在广义的非平凡解的存在性.     

Dual solutions and stability analysis of flow and heat transfer of Casson fluid over a stretching sheet

The aim of the current study is to find out the dual solutions of the two-dimensional magnetohydrodynamic (MHD) flow of Casson fluid and heat transfer over the stretching sheet. The focus of the study is to examine the linear thermal radiation effects on dual solutions for both the steady and unsteady flow of Casson fluid over the stretching sheet under the influence of uniform magnetic field. The governing equations are formed as system of partial differential equations (PDEs). Using suitable transformations, the system of PDEs are converted into favorable nonlinear system of ordinary differential equations (ODEs). Simulations are performed in Maple 2015 to form the dual solutions in order to achieve the velocity, temperature, skin friction and heat transfer profiles of the Casson fluid over the stretching sheet. It is concluded that the dual solutions for the corresponding model are numerically stable. Furthermore, the upper branch solutions of the Casson fluid profiles are numerically stable as compared to the lower branch solutions. Results indicate that positive Eigen values of the MHD flow of Casson fluid provide stable profiles as compared to the negative Eigen values. It is believed that the current study would provide a base for the dual solution of the other types of the non-Newtonian fluid flows over various categories of surfaces.     

Existence and multiplicity results for classes of elliptic resonant problems

In this paper we prove some new existence results of nontrivial solutions for classes of elliptic resonant problems. We also establish several multiplicity results. The methods used here are based on combining the minimax methods and the Morse theory especially some new observations on the critical groups of a local linking-type degenerate critical point.     

风景区开发项目用地基准地价评估方法初步研究

文章在对风景区土地评估对象、内涵、土地利用及市场特点系统分析的基础上，认为风景区内地价评估的核心是开发项目用地价格评估，提出并论证了以景区自然、人文景观价值评价为基础，以项目用地投资收益为依据的风景区项目用地基准地价评估方法体系，并以天台山风景名胜区为例，建立了天台山风景名胜区开发项目用地基准地价体系，为天台山风景名胜区开发过程中引入股份制等新型机制奠定了基础。     

山西省管涔山林区苔藓植物垂直分布和群落类型的研究

在详细野外调查和区系研究的基础上．本文通过对１９８个苔藓植物样方（２０×２０ｃｍ２）的分析，首次报道了山西省管涔山林区苔藓植物垂直分布和群落类型的基本特征，为进一步深入研究提供了第一手参考资料．     

Electrorheological Fluids Equations Involving Variable Exponent with Dependence on the Gradient via Mountain Pass Techniques

This article deals with a quasilinear elliptic equation with variable exponent under a homogenous Dirichlet boundary-value condition, where nonlinearity also depends on the gradient of the solution. By using an iterative method based on Mountain Pass techniques, the existence of a positive solution is obtained.     

Two-photon laser-induced fluorescence in oxygen and nitrogen atoms

Two-photon absorption is used to populate the 3p ³P state of O and the 2s²2p²3p⁴D^o state of N in a flow discharge. Exciting photons are produced by anti-Stokes Raman frequency conversion of tunable UV laser radiation; the resulting near IR fluorescence from the excited state yielded lifetimes, quenching rates, and relative two-photon transition probabilities.     

Existence and multiplicity results for some quasilinear elliptic equation with weights

Using variational methods, we show the existence and multiplicity of solutions of singular boundary value problems of the type

     

Existence and multiplicity of solutions for semilinear elliptic equations with Hardy terms and Hardy–Sobolev critical exponents

Some existence and multiplicity results are obtained for solutions of semilinear elliptic equations with Hardy terms, Hardy–Sobolev critical exponents and superlinear nonlinearity by the variational methods and some analysis techniques.