Multiple Nontrivial Solutions for a Class of Biharmonic Elliptic Equations with Sobolev Critical Exponent

Xiaoyong Qian; Jun Wang; Maochun Zhu

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Multiple Nontrivial Solutions for a Class of Biharmonic Elliptic Equations with Sobolev Critical Exponent

机译：具有Sobolev临界指数的一类双调和椭圆方程的多个非平凡解。

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In this paper, we study the existence and multiplicity of nontrivial solutions for a class of biharmonic elliptic equation with Sobolev critical exponent in a bounded domain. By using the idea of the previous paper, we generalize the results and prove the existence and multiplicity of nontrivial solutions of the biharmonic elliptic equations.

机译：在本文中，我们研究了一类具有Sobolev临界指数的双调和椭圆方程在有界域中非平凡解的存在性和多重性。利用前一论文的思想，我们对结果进行了概括，并证明了双调和椭圆方程非平凡解的存在性和多重性。

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《Mathematical Problems in Engineering: Theory, Methods and Applications》 |2018年第5期|共页
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Xiaoyong Qian; Jun Wang; Maochun Zhu;
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中图分类工程数学;
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1. Multiple Nontrivial Solutions for a Class of Biharmonic Elliptic Equations with Sobolev Critical Exponent [J] . Qian Xiaoyong, Wang Jun, Zhu Maochun Mathematical Problems in Engineering . 2018,第15期

机译：具有Sobolev临界指数的一类双调和椭圆方程的多个非平凡解。
2. Multiple solutions for a class of biharmonic elliptic systems with Sobolev critical exponent [J] . Lü D. Nonlinear Analysis: An International Multidisciplinary Journal . 2011,第17期

机译：具有Sobolev临界指数的一类双谐椭圆系统的多重解
3. Quasilinear elliptic equations with Hardy terms and Hardy-Sobolev critical exponents: nontrivial solutions [J] . Guanwei Chen Boundary value problems . 2015,第1期

机译：具有Hardy项和Hardy-Sobolev临界指数的拟线性椭圆方程：非平凡解
4. Existence of the Positive Solutions for some Boundary Singularity Elliptic Equation with Critical Sobolev-Hardy Exponent [C] . Zhiyang Liu International Conference on Mechanical and Electronics Engineerin . 2014

机译：临界SoboLev-Hardy指数的一些边界奇异性椭圆方程的正解的存在
5. Critical exponent elliptic equations: Gluing and the moving sphere method. [D] . Xu, Haoyuan. 2007

机译：临界指数椭圆方程：胶合和运动球面法。
6. Solutions for the quasi-linear elliptic problems involving the critical Sobolev exponent [O] . Yanbin Sang, Siman Guo -1

机译：涉及临界Sobolev指数的拟线性椭圆问题的解
7. Quasilinear elliptic equations with Hardy terms and Hardy-Sobolev critical exponents: nontrivial solutions [O] . 2015

机译：具有Hardy项和Hardy-Sobolev临界指数的拟线性椭圆方程：非平凡解

Multiple Nontrivial Solutions for a Class of Biharmonic Elliptic Equations with Sobolev Critical Exponent

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