On the Convergence of a Class of Nonlocal Elliptic Equations and Related Optimal Design Problems
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-016-1021-z
Abstract: A convergence result for a nonlocal differential equation problem is proved. As a by-product, some results about the convergence for a type of nonlocal optimal design are given. Since these problems give rise to local… read more here.
Keywords: design; convergence class; nonlocal elliptic; class nonlocal ... See more keywords
On a class of nonlocal continuity equations on graphs
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DOI: 10.1017/s0956792523000128
Abstract: Motivated by applications in data science, we study partial differential equations on graphs. By a classical fixed-point argument, we show existence and uniqueness of solutions to a class of nonlocal continuity equations on graphs. We… read more here.
Keywords: equations graphs; class nonlocal; continuity equations; nonlocal continuity ... See more keywords
Existence results for a class of nonlocal problems involving the -Laplace operator
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DOI: 10.1080/17476933.2017.1282950
Abstract: Abstract This paper is concerned with the existence of solutions to a class of -Kirchhoff-type equations with Dirichlet boundary condition of the form: By means of variational methods and the theory of the variable exponent… read more here.
Keywords: results class; class; class nonlocal; problems involving ... See more keywords
Symmetry of solutions for a class of nonlocal Monge–Ampère equations
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DOI: 10.1080/17476933.2020.1816986
Abstract: In this paper, we consider equations involving a class of nonlocal Monge–Ampere operators. We first establish some maximum principles, such as a narrow region principle and a decay at infinity. The... read more here.
Keywords: class nonlocal; equations symmetry; symmetry solutions; nonlocal monge ... See more keywords