One dimensional symmetry of solutions to some anisotropic quasilinear elliptic equations in the plane

Giuseppe R.; Sciunzi B.

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One dimensional symmetry of solutions to some anisotropic quasilinear elliptic equations in the plane

机译：平面上某些各向异性拟线性椭圆型方程解的一维对称性

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摘要

We prove one-dimensional symmetry of monotone solutions for some anisotropic quasilinear elliptic equations in the plane.

机译：我们证明了平面上某些各向异性拟线性椭圆型方程单调解的一维对称性。

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《Communications on pure and applied analysis》 |2012年第3期|共10页
作者
Giuseppe R.; Sciunzi B.;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Degenerate anisotropic elliptic pdes; Geometric analysis; Rigidity and symmetry results;

机译：简并各向异性椭圆;几何分析;刚度和对称性结果;

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专利

1. One dimensional symmetry of solutions to some anisotropic quasilinear elliptic equations in the plane [J] . Giuseppe R., Sciunzi B. Communications on pure and applied analysis . 2012,第3期

机译：平面上某些各向异性拟线性椭圆型方程解的一维对称性
2. Multiplicity of solutions for anisotropic quasilinear elliptic equations with variable exponents [J] . Stancu-Dumitru D. Bulletin of the Belgian Mathematical Society-Simon Stevin . 2010,第5期

机译：具有可变指数的各向异性拟线性椭圆型方程的多解性。
3. A PRIORI ESTIMATES TO THE MAXIMUM MODULUS OF GENERALIZEDSOLUTIONS OF A CLASS OF QUASILINEAR ELLIPTIC EQUATIONSWITH ANISOTROPIC GROWTH CONDITIONS [J] . 梁廷, 王向东应用数学和力学：英文版 . 1994,第011期

机译：关于各向异性生长条件的一类拟线性椭圆方程的最大估计的优先估计
4. Partial and full symmetry of solutions of quasilinear elliptic equations, via the Comparison Principle [C] . Patrizia Pucci, Berardino Sciunzi, James Serrin Conference on Perspectives in Nonlinear Partial Differential Equations . 2007

机译：通过比较原理，Quasilinear椭圆方程解决方案的局部和完全对称性
5. On the number of solutions of Dirichlet problems for some quasilinear elliptic equations. [D] . Koizumi, Eiko. 2004

机译：一类拟线性椭圆型方程Dirichlet问题的解数。
6. Symmetry reduction and exact solutions of two higher-dimensional nonlinear evolution equations [O] . Yongyi Gu, Jianming Qi -1

机译：两个高维非线性发展方程的对称约化和精确解
7. One dimensional symmetry of solutions to some anisotropic quasilinear elliptic equations in the plane [O] . Giuseppe Riey, Berardino Sciunzi 2012

机译：飞机中一些各向异性Quasilinear椭圆方程的溶液的一维对称

One dimensional symmetry of solutions to some anisotropic quasilinear elliptic equations in the plane

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