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A Neumann boundary value problem for a class of gradient systems

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Języki publikacji
EN
Abstrakty
EN
In this paper we study a class of two-point boundary value systems. Using very recent critical points theorems, we establish the existence of one non-trivial solution and infinitely many solutions of this problem, respectively.
Rocznik
Strony
171--181
Opis fizyczny
Bibliogr. 16 poz.
Twórcy
autor
  • Sichuan University of Science and Engineering Department of Science Zigong 643000, PR China
autor
  • Southwest University School of Mathematics and Statistics Chongqing 400715, PR China
Bibliografia
  • 1] G.A. Afrouzi, A. Hadjian, S. Heidarkhani, Multiplicity results for a class of two-point boundary value systems investigated via variational methods, Bull. Math. Soc. Sci. Math. Roumanie. 55 (2012) 103, 343–352.
  • [2] G.A. Afrouzi, S. Heidarkhani, D. O’Regan, Three solutions to a class of Neumann doubly eigenvalue elliptic systems driven by a (p1, . . . , pn)-Laplacian, Bull. Korean Math. Soc. 47 (2010) 6, 1235–1250.
  • [3] G. Bonanno, A critical point theorem via the Ekeland variational principle, Nonlinear Anal. 75 (2012) 5, 2992–3007.
  • [4] G. Bonanno, G.M. Bisci, Infinitely many solutions for a boundary value problem with discontinuous nonlinearities, Bound. Value Probl. (2009), Art. ID 670675, 20 pages.
  • [5] G. Bonanno, S.M. Buccellato, Two point boundary value problems for the Sturm-Liouville equation with highly discontinuous nonlinearities, Taiwanese J. Math. 14 (2010) 5, 2059–2072.
  • [6] G. Bonanno, G. D’Aguì, On the Neumann problem for elliptic equations involving the p-Laplacian, J. Math. Anal. Appl. 358 (2009) 2, 223–228.
  • [7] G. Bonanno, G. D’Aguì, Multiplicity results for a perturbed elliptic Neumann problem, Abstr. Appl. Anal. (2010), Art. ID 564363, 10 pages.
  • [8] G. Bonanno, S.A. Marano, On the structure of the critical set of non-differentiable functions with a weak compactness condition, Appl. Anal. 89 (2010) 1, 1–10.
  • [9] G. Bonanno, G. Molica Bisci, V. Radulescu, Existence of three solutions for a non-homogeneous Neumann problem through Orlicz-Sobolev spaces, Nonlinear Anal. 74 (2011) 14, 4785–4795.
  • [10] G. Bonanno, P.F. Pizzimenti, Neumann boundary value problems with not coercive potential, Mediterr. J. Math. 9 (2012) 4, 601–609.
  • [11] G. Bonanno, A. Sciammetta, Existence and multiplicity results to neumann problems for elliptic equations involving the p-Laplacian, J. Math. Anal. Appl. 390 (2012) 1, 59–67.
  • [12] P. Candito, G. D’Aguì, Three solutions for a discrete nonlinear Neumann problem involving the p-Laplacian, Adv. Difference Equ. (2010), Art. ID 862016, 11 pages.
  • [13] A. Chinnì, R. Livrea, Multiple solutions for a Neumann-type differential inclusion problem involving the p(•)-Laplacian, Discrete Contin. Dyn. Syst. Ser. S 5 (2012) 4, 753–764.
  • [14] S. Heidarkhani, Y. Tian, Multiplicity results for a class of gradient systems depending on two parameters, Nonlinear Anal. 73 (2010) 2, 547–554.
  • [15] A. Kristály, V.D. Radulescu, C.G. Varga, Variational principles in mathematical physics, geometry, and economics, volume 136 of Encyclopedia of Mathematics and its Applications. Cambridge University Press, Cambridge, 2010. Qualitative analysis of nonlinear equations and unilateral problems, With a foreword by Jean Mawhin.
  • [16] E. Zeidler, Nonlinear functional analysis and its applications. II/B, Springer-Verlag, New York, 1990. Nonlinear monotone operators, Translated from the German by the author and Leo F. Boron.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-00ddbff1-dbcf-47f6-ade6-0a7568eacdd2
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