Infinitely Many Solutions for a Mixed Doubly Eigenvalue Boundary Value Problem

Afrouzi G.A.; Hadjian A.; Heidarkhani S.

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Infinitely Many Solutions for a Mixed Doubly Eigenvalue Boundary Value Problem

机译：混合双特征值边值问题的无穷多个解

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摘要

In this paper, we prove the existence of infinitely many weak solutions for a mixed doubly eigenvalue boundary value problem. The approach is based on variational methods.

机译：在本文中，我们证明了混合双特征值边值问题的无限多个弱解的存在。该方法基于变分方法。

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《Mediterranean journal of mathematics》 |2013年第3期|共15页
作者
Afrouzi G.A.; Hadjian A.; Heidarkhani S.;
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正文语种 eng
中图分类 51;
关键词
critical points; infinitely many solutions; Mixed doubly eigenvalue boundary value problem; variational methods;

机译：临界点;无穷多个解;混合双特征值边值问题;变分方法;

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1. Infinitely Many Solutions for a Mixed Doubly Eigenvalue Boundary Value Problem [J] . Afrouzi G.A., Hadjian A., Heidarkhani S. Mediterranean journal of mathematics . 2013,第3期

机译：混合双特征值边值问题的无穷多个解
2. Effect of boundary constraint on the frequency response of moderately thick doubly curved cross-ply panels using mixed fourier solution functions [J] . Chaudhuri RA, Kabir HRH Journal of Sound and Vibration . 2005,第1a2期

机译：边界约束对使用混合傅里叶解函数的中厚双曲交叉面板的频率响应的影响
3. POSITIVE SOLUTIONS OF FOURTH-ORDER SINGULAR EIGENVALUE PROBLEM WITH MIXED TYPE BOUNDARY CONDITIONS [J] . XIGUANG LI Communications in Applied Analysis . 2013,第2期

机译：混合型边界条件的四阶奇异特征值问题的正解
4. DEGENERATE ELLIPTIC MIXED BOUNDARY VALUE PROBLEMS: POSITIVE SOLUTIONS, PRINCIPAL EIGENVALUE, GREEN FUNCTION, AND CRITICATITY THEORY [C] . Yehuda Pinchover, Tiferet Saadon International ISAAC Congress . 2003

机译：退化椭圆形混合边值问题：正面解决方案，主要特征值，绿色功能和批评理论
5. Positive solutions, existence of smallest eigenvalues, and comparison of smallest eigenvalues of a fourth order three point boundary value problem. [D] . King, Sarah Schulz. 2013

机译：正解，最小特征值的存在以及四阶三点边值问题的最小特征值的比较。
6. Infinitely Many Weak Solutions of the p-Laplacian Equation with Nonlinear Boundary Conditions [O] . Feng-Yun Lu, Gui-Qian Deng -1

机译：具有非线性边界条件的p-Laplacian方程的无穷弱解
7. Asymptotic behavior of eigenvalues of the Laplacian with the mixed boundary condition and its application (Geometry of solutions of partial differential equations) [O] . Jimbo Shuichi, Kurata Kazuhiro 2013

机译：具有混合边界条件的拉普拉斯特征值的渐近行为及其应用（偏微分方程解的几何）
8. Solution of the Laplace Equation in the Presence of a Semi-Infinite Boundary - the Case of an Oscillating Cantilever Plate in Uniform Incompressible Flow (Neumann Boundary Conditions; Fourier Sine and Cosine Transforms) [R] . Shayo, L. K. 1980

机译：半无限边界存在下Laplace方程的解 - 以均匀不可压缩流中的振荡悬臂板为例（Neumann边界条件; Fourier正弦和余弦变换）

Infinitely Many Solutions for a Mixed Doubly Eigenvalue Boundary Value Problem

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