AN ELLIPTIC BOUNDARY-VALUE PROBLEM DEPENDING NONLINEARLY UPON THE EIGENVALUE PARAMETER

被引：6

作者：

FAIERMAN, M ^{[1
]}

MENNICKEN, R ^{[1
]}

机构：

[1] UNIV REGENSBURG,NWF-1 MATH,W-8400 REGENSBURG,GERMANY

来源：

MANUSCRIPTA MATHEMATICA | 1991年 / 73卷 / 03期

关键词：

D O I：

10.1007/BF02567644

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we establish some results concerning the spectral properties of an elliptic boundary value problem containing the floating singularity (u - lambda)-1. Our results are arrived at through a study of the spectral properties of an associated lambda-linear problem, and in this study we use some basic facts from the theories of holomorphic operator-valued functions and definitizable operators in Krein space.

引用

页码：319 / 333

页数：15

共 26 条

[1]

Adams RA., 2003, PURE APPL MATH SOB O, V2

[2] ON EIGENFUNCTIONS AND ON EIGENVALUES OF GENERAL ELLIPTIC BOUNDARY VALUE PROBLEMS [J].

AGMON, S .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1962, 15 (02) :119-&

[3]

Agmon S., 1958, J ANAL MATH, V6, P183

[4]

AGMON S, 1965, LECTURES ELLIPTIC BO

[5]

AGMON S, 1961, 1960 P INT S LIN SPA, P1

[6]

[Anonymous], 1966, PERTURBATION THEORY

[7]

Bognar J., 1974, INDEFINITE INNER PRO

[8] ELLIPTIC PROBLEMS INVOLVING AN INDEFINITE WEIGHT [J].

FAIERMAN, M .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 320 (01) :253-279

[9]

Gilbarg D., 1983, ELLIPTIC PARTIAL DIF

[10]

Gohberg I.C., 1971, SB MATH+, V13, P603

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