Positive solutions for nonlinear singular second order Neumann boundary value problems

Li Liang Shengjun Li Zonghu Xiu

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Positive solutions for nonlinear singular second order Neumann boundary value problems

机译：非线性奇异二阶Neumann边值问题的正解

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In this paper, we study the existence of positive solutions to second order nonlinear differential equations with Neumann boundary conditions, our nonlinearity f(t,u) may be singular at u=0 and our proof relies on a nonlinear alternative of Leray-Schauder type, together with a truncation technique. Some example will be given.

机译：在本文中，我们研究具有Neumann边界条件的二阶非线性微分方程正解的存在，我们的非线性f（t，u）在u = 0时可能是奇异的，并且我们的证明依赖于Leray-Schauder类型的非线性替代，以及截断技术。将给出一些例子。

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《Journal of Mathematical and Computational Science》 |2012年第5期|共10页
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Li Liang Shengjun Li Zonghu Xiu;
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中图分类数学;
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1. POSITIVE SOLUTIONS TO SECOND-ORDER SINGULAR NEUMANN BOUNDARY VALUE PROBLEM WITH PARAMETERS IN THE BOUNDARY CONDITIONS [J] . 微分方程年刊：英文版 . 2009,第004期

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2. Erratum to: Positive solution of singular boundary value problem for nonlinear fractional differential equation with nonlinearity that changes sign (Positivity, 10.1007/s11117-010-0110-8) [J] . Zhang S. Positivity . 2012,第1期

机译：勘误至：带有改变符号的非线性的非线性分数阶微分方程的奇异边值问题的正解（正，10.1007 / s11117-010-0110-8）
3. Positive Solutions for a Class of Nonlinear Boundary Value Problems with Neumann-Robin Boundary Conditions [J] . V. Anuradha, C. Maya, R. Shivaji Journal of Mathematical Analysis and Applications . 1999,第1期

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4. The Countably Many Positive Solutions of Nonlinear Singular Boundary Value Problems with Sign Changing Nonlinearities [C] . Jian Wang IEEE international conference on computer science and information technology;ICCSIT 2010 . 2010

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5. Normalized p-laplacian evolution: boundary behavior of non-negative solutions of fully nonlinear parabolic equations: Gradient bounds for p-harmonic systems with vanishing neumann (dirichlet) data in a convex domain. [D] . Banerjee, Agnid. 2014

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Positive solutions for nonlinear singular second order Neumann boundary value problems

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