Using the method that will be introduced in Theorem 1.2, we prove the existence of weak solutions.
利用定理1．2介绍过的方法，我们用粘性消去的方法证明了其弱解的存在性。
The aim of this thesis is to study the existence of weak solutions for semilinear second order elliptic boundary value problems under suitable conditions through topological and variational methods.
本文主要利用拓扑度理论中的不动点定理和变分方法中的极小作用原理及其环绕形式的临界点定理在适当的条件下讨论了一类二阶椭圆边值问题的可解性。
This paper discusses the existence of a class of singular elliptic boundary value problems. Under certain conditions, we prove that weak solutions exist.
讨论了一类具有奇异性的椭圆问题解的存在性。证明了在一定条件下，弱解存在。
Then the existence and uniqueness of weak solutions for a BSCB System with nonlinear diffusion term are established on 2-d bounded domains.
其次我们得到一类带有非线性扩散项的MBSC B方程组在二维有界区域上弱解的存在唯一性。
Thfi existence and uniqueness theorems of weak solutions of initial-boundary value problems for nonlinear degenerate parabolic systems were established by lower-upper solution method.
应用上、下解方法证明非线性退缩抛物型方程组初边值问题弱解的存在唯一性。
But the uniqueness of the weak solutions and the global existence of the classical solution are not obtained.
另外，本部分还研究了相应问题古典解的爆破准则。关于弱解的唯一性和古典解的整体存在性尚未得到证明。
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。
By using weak noncompact types conditions, we obtain an existence theorem of generalized weak solutions to (cp), improving the results of weak solutions in,.
讨论模的同态的群逆存在的条件，得到正则自同态的群逆通过弱广义逆表示的显式，并给出一些应用和例子。
By using weak noncompact types conditions, we obtain an existence theorem of generalized weak solutions to (cp), improving the results of weak solutions in,.
讨论模的同态的群逆存在的条件，得到正则自同态的群逆通过弱广义逆表示的显式，并给出一些应用和例子。
应用推荐