Nothing Special   »   [go: up one dir, main page]

Skip to main content

Existence of Multiple Positive Solutions of Nonlinear Singular Fourth-Order Problems Involving the P-Laplacian

  • Conference paper
Bio-Inspired Computing - Theories and Applications

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 472))

  • 1403 Accesses

Abstract

Nonlinear fourth-order singular P-Laplacian resonant problems is a class of classical problems in mathematics and have lots of applications in engineering practice. In this paper, by using the variational method, the existence of multiple solutions for some nonlinear singular fourth-order p-Laplacian problems were obtained.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Bernis, F.: Compactness of The Support in Convex and Nonconvex Fourth Order Elasticity Problems. Nonlinear Analysis 6(11), 1221–1243 (1982)

    Article  MathSciNet  MATH  Google Scholar 

  2. Zill, D.G., Cullen, M.R.: Differential Equations and Boundary Value Problems, 5th edn. Computing and Modeling. Brooks Cole (2001)

    Google Scholar 

  3. Myers, T.G., Charpin, J.P.F.: A Mathematical Model for Atmospheric Ice Accretion and Water Flow on a Cold Surface. International Journal of Heat and Mass Transfer 47(25), 5483–5500 (2004)

    Article  MATH  Google Scholar 

  4. Myers, T.G., Charpin, J.P.F., Chapman, S.J.: The Flow and Solidification of a Thin Fluid Film on An Arbitrary Three-dimensional Surface. Physics of Fluids 14(8), 2788–2803 (2002)

    Article  MathSciNet  Google Scholar 

  5. Halpern, D., Jensen, O.E., Grotberg, J.B.: A Theoretical Study of Surfactant and Liquid Delivery Into the Lung. Journal of Applied Physiology 85, 333–352 (1998)

    Google Scholar 

  6. Mémoli, F., Sapiro, G., Thompson, P.: Implicit Brain Imaging. NeuroImage 23(supple. 1), S179–S188 (2004)

    Google Scholar 

  7. Toga, A.: Brain Warping, Academic Press, New York (1998)

    Google Scholar 

  8. Hofer, M., Pottmann, H.: Energy-minimizing Splines in Manifolds. In: Proceedings of the ACM Transactions on Graphics, pp. 284–293 (2004)

    Google Scholar 

  9. Timoshenko, S.P.: Theory of Elastic Stability. McGraw-Hill, New York (1961)

    Google Scholar 

  10. Soede W.: Vibrations of Shells and Plates. Marcel Dekker, New York (1993)

    Google Scholar 

  11. Dulcska, E.: Soil Settlement Effects on Buildings of Developments in Geotechnical Engineering, Amsterdam, The Netherlands (1992)

    Google Scholar 

  12. Jiang, J.Q., Liu, L.S., Wu, Y.H.: Positive Solutions for p-Laplacian Fourth-Order Differential System with Integral Boundary Conditions.Discrete Dynamics in Nature and Society, Article ID 293734, 1–19 (2012)

    Google Scholar 

  13. Xu, J., Yang, Z.: Positive Solutions for a Fourth Orderp-Laplacian Boundary Value Problem. Nonlinear Analysis 74, 2612–2623 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  14. Agarwal, R.P., Kanishka, P., O’Regan, D.: Multiple Positive Solutions of Singular Problems by Variational Methods. Proc. Amer. Math. Soc. 134, 817–824 (2005)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Wei, Y., Wang, M., Wang, L. (2014). Existence of Multiple Positive Solutions of Nonlinear Singular Fourth-Order Problems Involving the P-Laplacian. In: Pan, L., Păun, G., Pérez-Jiménez, M.J., Song, T. (eds) Bio-Inspired Computing - Theories and Applications. Communications in Computer and Information Science, vol 472. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-45049-9_76

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-45049-9_76

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-45048-2

  • Online ISBN: 978-3-662-45049-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics