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- noncoercive semilinear elliptic systems 非强制半线性椭圆系统
- Infinitely multiple solutions of a perturbed symmetric semilinear elliptic system 一类摄动对称半线性椭圆方程组的多重解
- Semilinear elliptic systems 半线性椭圆方程组
- The study in all chapters make it clear that the moving spheres method based on the new transformation is applicable in the study on semilinear elliptic equations or systems. 各章的研究表明，基于新的变换函数的移动球面方法适用于半线性椭圆方程和半线性椭圆方程组。
- In particular, we solved or partially solved two open problems in semilinear elliptic equations. 特别地，解决和部分解决了半线性椭圆方程中的2个公开问题。
- Existence of solutions for a class of semilinear elliptic equations is obtained by the minimax methods incritical point theory. 通过临界点理论中的极小极大方法得到了一个关于一类半线性椭圆方程解存在性的结果.
- In this paper, we mainly give an application for certain second order semilinear elliptic PDE making use of deformation technique. 文中主要应用形变技术给出了一类半线性椭圆方程的解的凸性的证明。
- Abstract: In this paper, we prove existence of positive entire solutions of a class quasi linear elliptic systems. 文摘:本文讨论了一类满足初值条件的非线性椭圆型方程组正整体解的存在性.
- We first get the nonexistence result for a related elliptic systems of nonincreasing positive solutions. 首先得到了它对应的椭圆型方程组非增正解的不存在性。
- In this paper we consider the existence of positive solutions and multiple solutions (possible not positive) of the semilinear elliptic equation with convex and concave nonlinearities, and critical Sobolev exponent. 本文考虑具有凹凸非线性和临界Sobolev指数的半线性椭圆方程的正解和多重解(可能非正)的存在性。
- In this paper, we prove existence of positive entire solutions of a class quasi linear elliptic systems. 本文讨论了一类满足初值条件的非线性椭圆型方程组正整体解的存在性.
- We consider a singularly perturbed boundary value problem for higher order semilinear elliptic equation.Using the comparison theorem, the uniform validity of the asymptotic solution is proved. 本文研究了一类高阶半线性椭圆型方程奇摄动边值问题。利用比较定理,证明了渐近解的致有效性。
- Abstract: We consider a singularly perturbed boundary value problem for higher order semilinear elliptic equation.Using the comparison theorem,the uniform validity of the asymptotic solution is proved. 文摘:本文研究了一类高阶半线性椭圆型方程奇摄动边值问题.;利用比较定理，证明了渐近解的致有效性
- The existence of weak solution for quasilinear elliptic system in the whole space is studied. 讨论了在全空间上拟线性椭圆型方程组的非平凡解的存在性。
- In chapter 3, we study the existence of positive solution for quasilinear elliptic systems, and then obtain an application theorem for a special case system. 在第三章研究了拟线性椭圆型方程组正解的存在性，得到了关于一类特殊方程组解的存在性定理。
- Under some additional conditions this sector is a global attractor and the solution of the parabolic system converges to a true solution of the elliptic system. 一些额外的条件下这个部门是一个全球性的吸引和解决抛物线系统收敛于一个真正的解决椭圆系统。
- singular semilinear elliptic equation 奇异半线性椭圆方程
- The existence of solutions for a class of elliptic systems is denoted, by Mountain Pass Lemma, the existence result for system of more general operator including p-Laplacian, is obtained. 摘要利用经典的山路引理，证明了在一般形式的算子下，椭圆型方程组非平凡解的存在性。
- A comparison principle for nonlinear degenerate elliptic equation is derived, and a existence theorem of the coupled weak quasi-solutions of BVP for nonlinear degenerate elliptic systems is given. 建立非线往退缩椭圆型方程的比较原理并给出方程组边值问题耦合弱拟解的存在性定理。
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