EXACT NUMBER OF SOLUTIONS FOR A NEUMANN PROBLEM INVOLVING THE p-LAPLACIAN

被引：0

作者：

Sanchez, Justino ^{[1
]}

Vergara, Vicente ^{[2
]}

机构：

[1] Univ La Serena, Dept Matemat, La Serena, Chile

[2] Univ Tarapaca, Inst Alta Invest, Arica, Chile

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年

关键词：

Neumann boundary value problem; p-Laplacian; lower-upper solutions; exact multiplicity; POSITIVE SOLUTIONS; EXISTENCE; EQUATIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the exact number of solutions of the quasilinear Neumann boundary-value problem (phi(p)(u'(t)))' + g(u(t)) = h(t) in (a, b), u'(a) = u'(b) = 0, where phi(p)(s) = vertical bar s vertical bar(p-2)s denotes the one-dimensional p-Laplacian. Under appropriate hypotheses on g and h, we obtain existence, multiplicity, exactness and non existence results. The existence of solutions is proved using the method of upper and lower solutions.

引用

页数：10

共 17 条

[1]

[Anonymous], 1985, RES NOTES MATH

[2] Optimal existence conditions for φ-Laplacian equations with upper and lower solutions in the reversed order [J].