Multiple Solution to (p, q)-Laplacian Systems with Concave Nonlinearities

Volume 4, Issue 1, pp 60--70 http://dx.doi.org/10.22436/jmcs.04.01.09

Download PDF

Download XML

• Export citations
  • CITATIONS & REFERENCES
  • EndNote (.ENW)
  • Mendeley, JabRef (.BIB)
  • Papers, Zotero, Reference Manager, RefWorks (.RIS)
  • ARTICLE CITATION
  • EndNote (.ENW)
  • Mendeley, JabRef (.BIB)
  • Papers, Zotero, Reference Manager, RefWorks (.RIS)
  • REFERENCES
  • EndNote (.ENW)
  • Mendeley, JabRef (.BIB)
  • Papers, Zotero, Reference Manager, RefWorks (.RIS)

• 2264 Downloads
• 3607 Views

Authors

G. A. Afrouzi - Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran M. Bai - Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran

Abstract

In this paper we study the (p,q)-Laplacian systems with concave nonlinearities. Using some asymptotic behavior

Share and Cite

Keywords

• Nonlinear boundary value problem
• Concave nonlinearity
• Variational method
• (p،q)-Laplacian systems
• Multiple solutions.

MSC

•  35J20
•  35J25
•  35A15
•  34B15
•  35J47

References

• [1] A. Ambrosetti, H. Brezis, C. Cerami, Combined effects of concave and covex nonlinearities in some elliptic problems, J. Funct. Anal., 122 (1994), 519--543
  • View Article
  • Google Scholar


• [2] G. A. Afrouzi, S. Mahdavi, Z. Naghizadeh, Existence of multiple solutions for a class of (p,q)-Laplacian systems, Nonlinear Anal., 72 (2010), 2243--2250
  • View Article
  • Google Scholar


• [3] G. A. Afrouzi, M. Bai, Elliptic P-Laplacian equations with indefinite concave nonlinearities near the origin, Advances in Theoretical and Applied Mathematics, 7 (2012), 51--57
  • View Article


• [4] S. Li, S. Wu, H. S. Zhou, Solutions to Semilinear Elliptic Problems with Combined Nonlinearities, J. Differential Equations, 185 (2002), 200--224
  • View Article
  • Google Scholar


• [5] J. P. Garcia Azorero, I. Peral Alonso, J. J. Manfredi, Sobolev versus Holder local minimizers and global multiplicity for some quasilinear elliptic equations, Commun. Contemp. Math., 2 (2000), 385--404
  • View Article
  • Google Scholar


• [6] J. L. Vazquez, A strong maximum principle for some quasilinear elliptic equations, Appl. Math. Optim., 12 (1984), 191--202
  • View Article
  • Google Scholar


• [7] L. Shi. X. Chang, Multiple solutions to p-Laplacian problems with concave nonlinearities, J. Math. Anal. Appl., 363 (2010), 155--160
  • View Article
  • Google Scholar


• [8] T. F. Wu, On semilinear elliptic equations involving concave-convex nonlinearities and sign-changing weight function, J. Math. Anal. Appl., 318 (2006), 263--270
  • View Article
  • Google Scholar


• [9] X.-X. Zhao, C.-L. Tang, Resonance problems for (p, q)-Laplacian systems, Nonlinear Anal., 72 (2010), 1019--1030
  • View Article
  • Google Scholar