Existence and Uniqueness of Renormalized Solutions to Some Nonlinear Elliptic Equations with Variable Exponents and Measure Data

Boqiang Lv; Fengquan Li; Weilin Zou

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Existence and Uniqueness of Renormalized Solutions to Some Nonlinear Elliptic Equations with Variable Exponents and Measure Data

机译：具有可变指数和测度数据的某些非线性椭圆方程的重新正规解的存在唯一性。

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摘要

In this paper we prove the existence and uniqueness of renormalized solutions to a class of nonlinear elliptic equations with variable exponents and measure data in L~1(Ω)+W~(-1,p'(·)(Ω).

机译：在本文中，我们证明了一类具有可变指数的非线性椭圆方程的重新规范化解的存在性和唯一性，并测量了L〜1（Ω）+ W〜（-1，p'（·）（Ω）中的数据。

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来源
《Journal of convex analysis》 |2014年第2期|共22页
作者
Boqiang Lv; Fengquan Li; Weilin Zou;
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正文语种 eng
中图分类数学分析;
关键词
Nonlinear elliptic equations; variable exponents; measure data; renormalized solution; existence; uniqueness;

机译：非线性椭圆方程;变量指数;测量数据;归一化解;存在性;唯一性;

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专利

1. Existence and Uniqueness of Renormalized Solutions to Some Nonlinear Elliptic Equations with Variable Exponents and Measure Data [J] . Boqiang Lv, Fengquan Li, Weilin Zou Journal of convex analysis . 2014,第2期

机译：具有可变指数和测度数据的某些非线性椭圆方程的重新正规解的存在唯一性。
2. L1 Existence and Uniqueness of Entropy Solutions to Nonlinear Multivalued Elliptic Equations with Homogeneous Neumann Boundary Condition and Variable Exponent [J] . OUARO Stanislas, OUEDRAOGO Arouna 偏微分方程：英文版 . 2014,第001期

机译：具有齐次Neumann边界条件和变指数的非线性多值椭圆型方程熵解的L1存在性和唯一性
3. Renormalized solutions for nonlinear elliptic equations with variable exponents and L1 data [J] . Mostafa Bendahmane, Petra Wittbold Nonlinear Analysis: An International Multidisciplinary Journal . 2009,第2期

机译：具有变量指数和L1数据的非线性椭圆方程的重新归一化解
4. EXISTENCE OF SOLUTIONS AND POSITIVITY OF THE INFIMUM EIGENVALUE FOR DEGENERATE ELLIPTIC EQUATIONS WITH VARIABLE EXPONENTS [C] . Inbo Sim, Yun-Ho Kim AIMS International Conference on Dynamical Systems, Differential Equations and Applications . 2013

机译：可变指数的退化椭圆方程的最终椭圆方程的溶液与阳性的存在性
5. Existence and Classification of Solutions to Nonlinear Elliptic Equations [D] . Ansari, Haseeb E. 2019

机译：非线性椭圆方程解的存在性与分类
6. Multiplicity and asymptotic behavior of solutions for Kirchhoff type equations involving the Hardy–Sobolev exponent and singular nonlinearity [O] . Liejun Shen -1

机译：具有Hardy-Sobolev指数和奇异非线性的Kirchhoff型方程解的多重性和渐近性
7. Existence of renormalized solutions to noncoercive nonlinear elliptic equations with two lower order terms and measure data [O] . GUIBE O, A. MERCALDO 2008

机译：具有两个低阶项和测量数据的非逼近非线性椭圆型方程的重整化解的存在性
8. Some Results of Existence and Uniqueness for Nonlinear Partial Differential Equations and Remarks on the Approximation of Some Nonlinear Elliptic Equations [R] . Temam, R. 1968

机译：非线性偏微分方程存在唯一性的若干结果及若干非线性椭圆型方程的逼近

Existence and Uniqueness of Renormalized Solutions to Some Nonlinear Elliptic Equations with Variable Exponents and Measure Data

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