GAMMA CONVERGENCE AND ASYMPTOTIC BEHAVIOR FOR EIGENVALUES OF NONLOCAL PROBLEMS

被引：5

作者：

Fernandez Bonder, Julian ^{[1
]}

Silva, Analia ^{[2
]}

Spedaletti, Juan F. ^{[2
]}

机构：

[1] Univ Buenos Aires, FCEN, Dept Matemat, Inst Matemat Luis A Santalo IMAS,CONICET, Ciudad Univ,Pabellon 1,C1428EGA,Av Cantilo S-N, Buenos Aires, DF, Argentina

[2] Inst Matemat Aplicada San Luis IMASL, Ejercito los Andes 950,D5700HHW, San Luis, Argentina

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2021年 / 41卷 / 05期

关键词：

Fractional eigenvalues; stability of nonlinear eigenvalues; fractional p-laplacian problems; PERIODIC HOMOGENIZATION;

D O I：

10.3934/dcds.2020355

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we analyze the asymptotic behavior of several fractional eigenvalue problems by means of Gamma-convergence methods. This method allows us to treat different eigenvalue problems under a unified framework. We are able to recover some known results for the behavior of the eigenvalues of the p-fractional laplacian when the fractional parameter s goes to 1, and to extend some known results for the behavior of the same eigenvalue problem when p goes to infinity. Finally we analyze other eigenvalue problems not previously covered in the literature.

引用

页码：2125 / 2140

页数：16

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