An extension of a multiplicity theorem by Ricceri with an application to a class of quasilinear equations

被引：7

作者：

Faraci, Francesca ^{[1
]}

Iannizzotto, Antonio ^{[1
]}

机构：

[1] Univ Catania, Dept Math & Comp Sci, I-95125 Catania, Italy

来源：

STUDIA MATHEMATICA | 2006年 / 172卷 / 03期

关键词：

convexity; critical points; nonlinear equations; p-Laplacian;

D O I：

10.4064/sm172-3-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A recent multiplicity result by Ricceri, stated for equations in Hilbert spaces, is extended to a wider class of Banach spaces. Applications to nonlinear boundary value problems involving the p-Laplacian are presented.

引用

页码：275 / 287

页数：13

共 7 条

[1] [Anonymous], 1976, GEOMETRY BANACH SPAC
[2] [Anonymous], 1985, NONLINEAR FUNCTIONAL
[3] Jefimow N W., 1961, Soviet Mathematics, V2, P1226
[4] A MOUNTAIN PASS THEOREM
PUCCI, P
SERRIN, J
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1985, 60 (01) : 142 - 149
[5] A general multiplicity theorem for certain nonlinear equations in Hilbert spaces
Ricceri, B
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, 133 (11) : 3255 - 3261
[6] Ricceri B., 2001, J NONLINEAR CONVEX A, V2, P279
[7] Nonunique solvability of certain differential equations and their connection with geometric approximation theory
Tsar'kov, IG
[J]. MATHEMATICAL NOTES, 2004, 75 (1-2) : 259 - 271

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