PERIODIC SOLUTIONS TO NONLINEAR EQUATIONS WITH OBLIQUE BOUNDARY CONDITIONS

被引：0

作者：

Allegretto, Walter ^{[1
]}

Papini, Duccio ^{[2
]}

机构：

[1] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada

[2] Univ Siena, Dipartimento Ingn Informaz, I-53100 Siena, Italy

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2012年 / 40卷 / 02期

关键词：

Periodic solutions; oblique and dynamic boundary conditions; topological methods; CAHN-HILLIARD EQUATION; PARABOLIC EQUATIONS; GLOBAL EXISTENCE; LAPLACE EQUATION; HEAT-EQUATION; SYSTEMS; CONVERGENCE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the existence of positive periodic solutions to nonlinear elliptic and parabolic equations with oblique and dynamical boundary conditions and non-local terms. The results are obtained through fixed point theory, topological degree methods and properties of related linear elliptic problems with natural boundary conditions and possibly non-symmetric principal part. As immediate consequences, we also obtain estimates on the principal eigenvalue for non-symmetric elliptic eigenvalue problems.

引用

页码：225 / 243

页数：19

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