infinitely many solutionsPohozaev identityIn this paper,by an approximating argument,we obtain two disjoint and infinite sets of solutions for the following elliptic equation with critical Hardy-Sobolev exponents ■where Ω is a smooth bounded domain in R~N with 0 ∈ ?Ω and all the principle ...
For example, the equation sin x = 1 is an example of a trigonometric equation. Do you see the sine function in this equation? View Video Only Save Timeline Video Quiz Course 15K views Infinite Solutions There is one interesting characteristic that trigonometric equations have. And that...
All the solutions of the Dirac equation in the infinite-space de Sitter universe are found and it is shown that they form a basis for a representation of the group of motions for this universeSO 3.2. The action of the generators ofSO 3.2 on these solutions is explicitly given as a linear...
This paper is concerned with a relative perturbation theory and its entrywise relatively accurate numerical solutions of an M-matrix Sylvester equation AX... J Xue,S Xu,RC Li - 《Numerische Mathematik》 被引量: 31发表: 2011年 An Integration-Implemented Newton-Raphson Iterated Algorithm With Noise...
1) infinite solutions 无穷多解法2) Infinitely many solutions 无穷多解1. By means of the variational approach,in a condition weaker than(AR) the existence of infinitely many solutions of fourth-order elliptic equation is discussed. 在比(AR)条件更弱的一类超线性条件之下,利用变分方法讨论了一类超...
We associate with equation (1) and the vertex conditions (2) an operator acting from the Sobolev space to the space where . We study the smoothness, and exponential behavior at infinity of solutions of equation , and for periodic graphs we obtain the necessary and sufficient conditions of the...
A bound for the solutions of the Diophantine equation $D_1 x^2 + D_2^m = 4y^n$ We show that in every solutions $(D_1,D_2,x,y,m,n)$ of the equation $D_1 x^2 + D_2^m = 4 y^n$ with $n$ prime and coprime with the class-number of the imagi... M Cipu - 《Pr...
de Nicolao, G., "Differential periodic Riccati equa- tions: a note on the existence of an infinite num- ber of periodic strong solutions", Int. J. Control 56 (1992), 985-990.G. De Nicolao, Differential periodic Riccati equations: A note on the existence of an infinite number of ...
Applications are given to a differential equation of infinite order. Let D = d/dx and L(z) = zF{z). The equation L(D)f{x) = 0 with the boundary condition lim_(x→±∞) f(x) = 0 has non-vanishing solutions. Extensions are given with D = d/dz. 展开 关键词: taylor-...
Existence and Multiplicity of Solutions for the Logarithmic Schrödinger Equation with a Potential on Lattice Graphs Article 21 October 2024 1 Introduction Let be a fixed infinite weighted graph, with edge-weight and node (or vertex) measure . In this paper we study bounded solutions to elliptic...