讨论了带变号扰动并且具有一定附加条件的临界椭圆方程的两个正解存在性。
This paper deals with the existence of two positive solutions for critical elliptic equations with a changed sign perturbation and with an auxiliary condition.
在此基础上，运用变分法得到了椭圆厄米高斯光束各参量的演化方程、演化规律和两个临界功率。
Based on this, the evolution equations, evolution laws of elliptical Hermite-Gaussian light beam's every variable and two critical powers are also derived using variational method.
本文中，我们提出了一个具有两种临界指数的非线性椭圆型方程问题，证明了狄氏问题的正径向解的存在性。
In this paper a problem of nonlinear elliptic equations involving two kinds of critical exponents is given, and also the existence of positive radiate solutions of the Dirichet problem is proved.
本文讨论一类变系数带临界指数的椭圆型方程，主要考虑上述问题的非平凡解的存在性，包括多解与非存在性。
In this paper, we study the existence of multiple nontrivial solutions for the variable coefficient elliptic equations with critical Sobolev exponents.
研究了一个奇异的、次临界指数的半线性椭圆方程。
A semilinear elliptic equation with singular and subcritical exponent is studied.
利用临界点理论，研究了一类含有渐近线性项和奇异项的半线性椭圆方程的边值问题。
According to the critical point theory, a class of problems of elliptic boundary value with an asymptotically linear term and singular term is studied.
本文是采用变分估计方法考虑一类椭圆方程在临界指数和自由边界条件下解的存在性问题。
This papar deals with the problem of solution's existence about elliptic equation under limiting exponents and free boundary problem by variational evaluation methods.
用临界点理论中的极小极大方法得到了次线性椭圆方程Neumann问题多重解的存在性。
The existence of multiple solutions is obtained for Neumann problem of sublinear elliptic equations by the minimax methods in the critical point theory.
用临界点理论中的极小极大方法得到了次线性椭圆方程Neumann问题多重解的存在性。
The existence of multiple solutions is obtained for Neumann problem of sublinear elliptic equations by the minimax methods in the critical point theory.
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