• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>University of Bucharest. Annals. Mathematical Series >On the existence of infinitely many solutions of a nonlinear Neumann problem involving the m-Laplace operator
【24h】

On the existence of infinitely many solutions of a nonlinear Neumann problem involving the m-Laplace operator

机译：关于涉及m-Laplace算子的非线性Neumann问题的无穷多个解的存在

获取原文
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

This paper surveys the existence of infinitely many solutions of a nonlinear Neumann?problem?involving the m-Laplace operator, where?the constant m satisfies certain alternative inequalities,?and some functions f(x,u) and g(x,u) continuous on overline{Omega}imesRR and on partialOmegaimesRR, respectively, and odd with respect to u. We work?on a domain Omega bounded in RR^{N} with smooth boundary.?More specifically, we demonstrate the existence of a sequence of solutions which diverge to infinity provided that the nonlinear term is locally superlinear and the existence of a sequence of solutions which converge to zero provided that the nonlinear term is locally sublinear. ?
机译：本文调查了涉及m-Laplace算子的非线性Neumann问题的无限多个解的存在，其中，常数m满足某些替代不等式，以及一些函数f（x，u）和g（x，u）分别在 overline { Omega} times RR和 partial Omega times RR上连续，相对于u为奇数。我们在一个边界为 RR ^ {N}且具有光滑边界的域 Omega上进行工作。更具体地讲，我们证明了当非线性项是局部超线性时，解序列存在无穷大的情况。如果非线性项是局部亚线性的，则收敛到零的解的序列。 ？

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号