非线性退化椭圆型方程熵解的存在性

IF 1.1 Q1 MATHEMATICS

Journal of Nonlinear Functional Analysis Pub Date : 2020-01-01 DOI:10.23952/jnfa.2020.38

A. C. Cavalheiro, A. C. Cavalheiro

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引用次数: 0

摘要

．本文证明了Dirichlet问题的熵解的存在性，其中Ω是R N, N≥2,f∈l1 (Ω)的有界开集。给出了一个示例来支持我们的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The existence of entropy solutions for nonlinear degenerate elliptic equations

. In this article, we prove the existence of entropy solutions for the Dirichlet problem where Ω is a bounded open set of R N , N ≥ 2 and f ∈ L 1 ( Ω ) . An example is provided to support our result.

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来源期刊

Journal of Nonlinear Functional Analysis Multiple-

CiteScore

2.40

自引率

0.00%

发文量

期刊介绍： Journal of Nonlinear Functional Analysis focuses on important developments in nonlinear functional analysis and its applications with a particular emphasis on topics include, but are not limited to: Approximation theory; Asymptotic behavior; Banach space geometric constant and its applications; Complementarity problems; Control theory; Dynamic systems; Fixed point theory and methods of computing fixed points; Fluid dynamics; Functional differential equations; Iteration theory, iterative and composite equations; Mathematical biology and ecology; Miscellaneous applications of nonlinear analysis; Multilinear algebra and tensor computation; Nonlinear eigenvalue problems and nonlinear spectral theory; Nonsmooth analysis, variational analysis, convex analysis and their applications; Numerical analysis; Optimal control; Optimization theory; Ordinary differential equations; Partial differential equations; Positive operator inequality and its applications in operator equation spectrum theory and so forth; Semidefinite programming polynomial optimization; Variational and other types of inequalities involving nonlinear mappings; Variational inequalities.