INFINITELY MANY SYMMETRIC SOLUTIONS FOR ANISOTROPIC PROBLEMS DRIVEN BY NONHOMOGENEOUS OPERATORS

DUSAN D. REPOVS

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INFINITELY MANY SYMMETRIC SOLUTIONS FOR ANISOTROPIC PROBLEMS DRIVEN BY NONHOMOGENEOUS OPERATORS

机译：非均匀运营商驱动的各向异性问题的无限许多对称解

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摘要

We are concerned with the existence of infinitely many radial symmetric solutions for a nonlinear stationary problem driven by a new class of nonhomogeneous differential operators. The proof relies on the symmetric version of the mountain pass theorem.

机译：我们担心由新类非均匀差动算子驱动的非线性固定问题的无限许多径向对称解决方案的存在。证明依赖于山地通过定理的对称版本。

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《Discrete and continuous dynamical systems▼hSeries S》 |2019年第2期|401-411|共11页
作者
DUSAN D. REPOVS;
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作者单位

Faculty of Education and Faculty of Mathematics and Physics University of Ljubljana SI-1000 Ljubljana Slovenia;

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正文语种 eng
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Anisotropic elliptic problem; nonhomogeneous differential operator; variable exponent; symmetric mountain pass theorem;

机译：各向异性椭圆问题;非均匀差动算子;可变指数;对称山公定理;

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1. Multiplicity of Radially Symmetric Small Energy Solutions for Quasilinear Elliptic Equations Involving Nonhomogeneous Operators [J] . Jun Ik Lee, Yun-Ho Kim Mathematics . 2020,第1期

机译：涉及非均匀算子的Quasilinear椭圆方程的径向对称小能量解决方案的多重性
2. RADIALLY SYMMETRIC SOLUTIONS FOR QUASILINEAR ELLIPTIC EQUATIONS INVOLVING NONHOMOGENEOUS OPERATORS IN AN ORLICZ-SOBOLEV SPACE SETTING [J] . Jae-Myoung KIM, Yun-Ho KIM, Jongrak LEE 数学物理学报（英文版） . 2020,第006期

机译：涉及Orlicz-Sobolev空间设定非均匀运算符的Quasilinear椭圆方程的径向对称解
3. Existence of infinitely many solutions for a class of linear perturbed symmetric elliptic problem with nonhomogeneous boundary [J] . Meng HX Russian journal of mathematical physics . 2010,第4期

机译：一类具有非齐次边界的线性摄动对称椭圆问题的无穷多个解的存在性
4. General exact controllability results for dynamic systems with skew symmetric operators and behaviour at infinite time [C] . Bensoussan, A. . 1990

机译：具有偏对称算子和无限时间行为的动态系统的一般精确控制结果
5. Compound operators and infinite dimensional dynamical systems. [D] . Wang, Qian. 2008

机译：复合算子和无限维动力系统。
6. GENERALIZED RESOLUTIONS OF THE IDENTITY FOR CLOSED SYMMETRIC ORDINARY DIFFERENTIAL OPERATORS [O] . Earl A. Coddington 1956

机译：闭对称常微分算子的恒等式的广义解
7. Generalized Choquard Equations Driven by Nonhomogeneous Operators [O] . Claudianor O. Alves, Vicenţiu D. Rădulescu, Leandro S. Tavares 2019

机译：非均匀运营商驱动的广义Choquard方程
8. Infinite set of relevant operators for an exact solution of the time-dependent Jaynes-Cummings Hamiltonian [R] . Gruver, J. L. , Aliaga, J. , Cerdeira, H. A. , 1995

机译：无限的相关运算符，用于精确求解时间相关的Jaynes-Cummings Hamiltonian

INFINITELY MANY SYMMETRIC SOLUTIONS FOR ANISOTROPIC PROBLEMS DRIVEN BY NONHOMOGENEOUS OPERATORS

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