bdim: Biblioteca Digitale Italiana di Matematica

Un progetto SIMAI e UMI

Referenza completa

D'Aguì, Giuseppina:
Molteplicity of Solutions for Sturm-Liouville Problems
Bollettino dell'Unione Matematica Italiana Serie 9 6 (2013), fasc. n.3, p. 725-734, (English)
pdf (265 Kb), djvu (83 Kb). | MR 3202850

Sunto

The existence of multiple solutions to a Sturm-Liouville boundary value problem is presented. The approach adopted is based on multiple critical points theorems.
Referenze Bibliografiche
[1] H. BRÉZIS, Analyse Functionelle - Théorie et Applications, Masson, Paris, 1983.
[2] G. BONANNO and P. CANDITO, Non-differentiable functionals and applications to elliptic problems with discontinuous nonlinearities, J. Differential Equations 244 (2008), 3031-3059. | fulltext (doi) | MR 2420513 | Zbl 1149.49007
[3] G. BONANNO and G. D'AGUÌ, A Neumann boundary value problem for the Sturm-Liouville Equation, Applied Mathematics and Computations, 208, (2009), 318-327. | fulltext (doi) | MR 2493824 | Zbl 1176.34020
[4] G. BONANNO and S.A. MARANO, On the structure of the critical set of non- differentiable functions with a weak compactness condition, Appl. Anal., 89 (2010), 1-10. | fulltext (doi) | MR 2604276 | Zbl 1194.58008
[5] G. BONANNO and G. MOLICA BISCI, Infinitely many solutions for a boundary value problem with discontinuous nonlinearities, Bound. Value Probl. 2009 (2009) 1-20. | fulltext EuDML | fulltext (doi) | MR 2487254 | Zbl 1177.34038
[6] G. BONANNO, Multiple solutions for a Neumann boundary value problem, J. Nonlinear and Convex Anal. 4 (2003), 287-290. | MR 1999269 | Zbl 1042.34034
[7] P. CANDITO, Infinitely many solutions to a Neumann problem for ellictic equations involving the p-Laplacian and with discontinuous nonlinearities, Proc. Edinb. Math. Soc. 45 (2002), 397-409. | fulltext (doi) | MR 1912648 | Zbl 1035.35040
[8] G. D'AGUÌ, Infinitely many solutions for a double Sturm-Liouville problem, Journal of Global Optimization, 54 (2012), 619-625. | fulltext (doi) | MR 2988202 | Zbl 1403.34026
[9] G. D'AGUÌ and A. SCIAMMETTA, Infinitely many solutions to elliptic problems with variable exponent and nonhomogeneous Neumann conditions, Nonlinear Anal., 75 (2012), 5612-5619. | fulltext (doi) | MR 2942940 | Zbl 1277.35171
[10] G. DAI, Infinitely many soluions for a Neumann-Type differential inclusion problem involving the p(x)-Laplacian, Nonlinear Anal., 70, Issue 6, (2009), 2297- 2305. | fulltext (doi) | MR 2498314 | Zbl 1170.35561
[11] X. FAN and C. JI, Existence of Infinitely many solutions for a Neumann problem involving the p(x)-Laplacian, J. Math. Anal. Appl. 334 (2007), 248-260. | fulltext (doi) | MR 2332553 | Zbl 1157.35040
[12] C. LI, The existence of Infinitely many solutions of a class of nonlinear elliptic equations with a Neumann boundary conditions for both resonance and oscillation problems, Nonlinear Anal. 54 (2003), 431-443. | fulltext (doi) | MR 1978420 | Zbl 1126.35320
[13] C. LI and S. LI, Multiple solutions and sign-changing solutions of a class of nonlinear elliptic equations with Neumann boundary conditions, J. Math. Anal. Appl. 298 (2004), 14-32. | fulltext (doi) | MR 2085488 | Zbl 1127.35014
[14] S. MARANO and D. MOTREANU, Infinitely many Critical points of Non-Differentiable Functions and Applications to the Neumann-Type problem involving the p-Laplacian, J. Differential Equations 182 (2002), 108-120. | fulltext (doi) | MR 1912071 | Zbl 1013.49001
[15] B. RICCERI, A general variational principle and some of its applications, J. Comput. Appl. Math. 133 (2000), 401-410. | fulltext (doi) | MR 1735837 | Zbl 0946.49001
[16] B. RICCERI, Infinitely many solutions of the Neumann problem for elliptic equations involving the p-Laplacian, Bull. London Math. Soc. 33 (2001), 331-340. | fulltext (doi) | MR 1817772 | Zbl 1035.35031
[17] J.-P. SUN, W.-T. LI and S.S. CHENG, Three positive solutions for second-order Neumann boundary value problems, Appl. Math. Letters 17 (2004), 1079-1084. | fulltext (doi) | MR 2087758 | Zbl 1061.34014
[18] J.-P. SUN and W.-T. LI, Multiple positive solutions to second-order Neumann boundary value problems, Appl. Math. Comput. 146 (2003), 187-194. | fulltext (doi) | MR 2007778 | Zbl 1041.34013

La collezione può essere raggiunta anche a partire da EuDML, la biblioteca digitale matematica europea, e da mini-DML, il progetto mini-DML sviluppato e mantenuto dalla cellula Math-Doc di Grenoble.

Per suggerimenti o per segnalare eventuali errori, scrivete a

logo MBACCon il contributo del Ministero per i Beni e le Attività Culturali