Solutions to Neumann boundary value problems with a generalized p-Laplacian

被引：1

作者：

Szymanska-Debowska, Katarzyna ^{[1
]}

机构：

[1] Lodz Univ Technol, Inst Math, Ul Wolczanska 215, PL-90924 Lodz, Poland

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2020年 / 27卷 / 04期

关键词：

p-Laplacian; Neumann condition; continuation theorem; coincidence degree; at resonance; DIFFERENTIAL-EQUATIONS; PERIODIC-SOLUTIONS; THEOREM; EXISTENCE;

D O I：

10.1515/gmj-2018-2001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this work is to investigate the existence of solutions for various Neumann boundary value problems associated to the Laplacian-type operators. The main results are obtained using the extension of Mawhin's continuation theorem.

引用

页码：629 / 636

页数：8

共 15 条

[1] Anichini G., 1990, REND SEM MAT U POLIT, V48, P149
[2] [Anonymous], 1999, RESULTS MATH
[3] [Anonymous], 1985, DISS MATH
[4] Existence and multiplicity results for some nonlinear problems with singular φ-Laplacian
Bereanu, C.
Mawhin, J.
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2007, 243 (02) : 536 - 557
[5] An extension of Mawhin's continuation theorem and its application to boundary value problems with a p-Laplacain
Ge, WG
Ren, JL
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 58 (3-4) : 477 - 488
[6] THEOREM OF BERNSTEIN,S.
GRANAS, A
GUENTHER, RB
LEE, JW
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1978, 74 (01) : 67 - 82
[7] JUMPING NONLINEARITIES FOR NEUMANN BVPS WITH POSITIVE FORCING
HABETS, P
RAMOS, M
SANCHEZ, L
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1993, 20 (05) : 533 - 549
[8] ON MULTIPLE SOLUTIONS OF A NONLINEAR NEUMANN PROBLEM
HARRIS, GA
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1992, 95 (01) : 75 - 104
[9] Hartman P., 1960, T AM MATH SOC, V96, P493
[10] PERIODIC SOLUTIONS TO DIFFERENTIAL EQUATIONS WITH A GENERALIZED P-LAPLACIAN
Lipowski, Adam
Przeradzki, Bogdan
Szymanska-Debowska, Katarzyna
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2014, 19 (08): : 2593 - 2601

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