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Information Journal Paper

Title

EXISTENCE AND MULTIPLICITY OF NONTRIVIAL SOLUTIONS FOR P-LAPLACIAN SYSTEM WITH NONLINEARITIES OF CONCAVE-CONVEX TYPE AND SIGN-CHANGING WEIGHT FUNCTIONS

Pages

  1301-1326

Abstract

 This paper is concerned with the existence of multiple positive solutions for a quasilinear elliptic system involving concave-convex nonlinearities and SIGN-CHANGING WEIGHT FUNCTIONS. With the help of the NEHARI MANIFOLD and Palais-Smale condition, we prove that the system has at least two nontrivial positive solutions, when the pair of parameters (l, m) belongs to a certain subset of R2.

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  • Cite

    APA: Copy

    KHADEMLOO, SOMAYEH, & KHANJANY GHAZI, SAEED. (2014). EXISTENCE AND MULTIPLICITY OF NONTRIVIAL SOLUTIONS FOR P-LAPLACIAN SYSTEM WITH NONLINEARITIES OF CONCAVE-CONVEX TYPE AND SIGN-CHANGING WEIGHT FUNCTIONS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 40(5), 1301-1326. SID. https://sid.ir/paper/635589/en

    Vancouver: Copy

    KHADEMLOO SOMAYEH, KHANJANY GHAZI SAEED. EXISTENCE AND MULTIPLICITY OF NONTRIVIAL SOLUTIONS FOR P-LAPLACIAN SYSTEM WITH NONLINEARITIES OF CONCAVE-CONVEX TYPE AND SIGN-CHANGING WEIGHT FUNCTIONS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2014;40(5):1301-1326. Available from: https://sid.ir/paper/635589/en

    IEEE: Copy

    SOMAYEH KHADEMLOO, and SAEED KHANJANY GHAZI, “EXISTENCE AND MULTIPLICITY OF NONTRIVIAL SOLUTIONS FOR P-LAPLACIAN SYSTEM WITH NONLINEARITIES OF CONCAVE-CONVEX TYPE AND SIGN-CHANGING WEIGHT FUNCTIONS,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 40, no. 5, pp. 1301–1326, 2014, [Online]. Available: https://sid.ir/paper/635589/en

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