Dissertation > Excellent graduate degree dissertation topics show

The Existence and Multiplicity of Positive Solutions to the One-Dimensional p-Laplacian with Singular Sturm-Liouville Boundary Value Conditions

Author: SongHuiJuan
Tutor: YinJingXue
School: Jilin University
Course: Applied Mathematics
Keywords: p-Laplace equation Positive solution Existence Multiplicity
CLC: O175.8
Type: Master's thesis
Year: 2010
Downloads: 7
Quote: 0
Read: Download Dissertation

Abstract


In this paper, we consider the one-dimensional p-Laplace equation and the existence of positive solutions to meet the singular Sturm-Liouville boundary conditions and multiplicity , which ?p ( s ) = | s | p -2s , p gt ; Since the equation is quasilinear This article , it is based on the Green function theory is no longer applicable. on the other hand , λ ( t ) the existence of a way to do some a priori estimate we can not take advantage of that depends on the characteristics of a concave function . construct the special Banach space and special cone , the application of the corresponding fixed point theorem to establish the above boundary value problems solutions with multiple sufficient condition .

Related Dissertations

  1. Measurement of Cortical Thickness and Its Application,TP391.41
  2. Application of Finite Volume Method in Melting Ice of Conductor Wire by Large Current,TM75
  3. Research on the Audience Services Quality of World Snooker China Open,G893
  4. Identification and Biological Characteristics of Bacteriophages That Lyze Proteus Vulgaris,R378
  5. The Study on Noumenon of the Lao-tzu Philosophy and the Western Theology,B978
  6. Application of the theory and ab initio molecular morphology method Be_n (n = 2-8) Clusters nature,O641.1
  7. Multiple Elliptic Equations and Navier-stokes Radial Solutions of Regular Solution Equation,O175.25
  8. The Solution of Test Model with a Free Boundary,TE353
  9. Qualitative Analysis of Water-Plant in Semi-Arid Landscapes Model,O242.1
  10. Analysis of Error on Geological Interpretation Based on Wave Equation Numerical Simulation,P631.4
  11. I am tolerant , therefore I am : Through three British cultural life grand masters explore the secrets of,I561
  12. A Study of Existentialism in the Sun Also Rises,I712.074
  13. On the Existence of Individual Life, Liberty, Awakening and Transcendence,I207.42
  14. Another force,J205
  15. On the All-sided Development of Man: in the Virtual Survival View,B038
  16. Automobile Industries Listed Company of China Investment Herding Behavior of Empirical Research,F426.471
  17. Iterative Methods for Extended General Mixed Variational Inequalities,O178
  18. Existence of Positive Solutions of Dynamic Equations on for Boundary Problems and Periodic Boundary Problems on Time Scales,O175.8
  19. The Study of Asymptotical Behaviors on Several Classes of Nonautonomous Difference Competitive System,O175.7
  20. On the Semilinear Elliptic Problems Involving the Critical Sobolev Exponents,O175.25
  21. Hyperbolic Geometric Flow-Review and Ideas,O186.12

CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations > Boundary Value Problems
© 2012 www.DissertationTopic.Net  Mobile