Weyl-type laws for fractional p-eigenvalue problems

被引:101
作者
Iannizzotto, Antonio [1 ]
Squassina, Marco [1 ]
机构
[1] Univ Verona, Dipartimento Informat, I-37134 Verona, Italy
关键词
fractional p-Laplacian problems; fractional Sobolev spaces; higher eigenvalues; asymptotics; ASYMPTOTIC-BEHAVIOR; LAPLACIAN;
D O I
10.3233/ASY-141223
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove an asymptotic estimate for the growth of variational eigenvalues of fractional p-Laplacian eigenvalue problems on a smooth bounded domain.
引用
收藏
页码:233 / 245
页数:13
相关论文
共 17 条
[1]  
[Anonymous], 2014, TOPOLOGICAL VARIATIO, DOI DOI 10.1007/978-1-4614-9323-5
[2]  
[Anonymous], J REINE ANG IN PRESS
[3]  
AZORERO JG, 1988, CR ACAD SCI I-MATH, V307, P75
[4]  
Baernstein II A., 1994, PARTIAL DIFFERENTIAL, VXXXV, P47
[5]   A DEFORMATION LEMMA ON A C-1 MANIFOLD [J].
BONNET, A .
MANUSCRIPTA MATHEMATICA, 1993, 81 (3-4) :339-359
[6]   An extension problem related to the fractional Laplacian [J].
Caffarelli, Luis ;
Silvestre, Luis .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2007, 32 (7-9) :1245-1260
[7]   Local behavior of fractional p-minimizers [J].
Di Castro, Agnese ;
Kuusi, Tuomo ;
Palatucci, Giampiero .
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2016, 33 (05) :1279-1299
[8]   Hitchhiker's guide to the fractional Sobolev spaces [J].
Di Nezza, Eleonora ;
Palatucci, Giampiero ;
Valdinoci, Enrico .
BULLETIN DES SCIENCES MATHEMATIQUES, 2012, 136 (05) :521-573
[9]   GENERALIZED CO-HOMOLOGICAL INDEX THEORIES FOR LIE GROUP ACTIONS WITH AN APPLICATION TO BIFURCATION QUESTIONS FOR HAMILTONIAN SYSTEMS [J].
FADELL, ER ;
RABINOWITZ, PH .
INVENTIONES MATHEMATICAE, 1978, 45 (02) :139-174
[10]  
Franzina G., 2014, RIV MAT U P IN PRESS, V5