Abstract
In this paper, we prove the existence of infinitely many solutions to differential problems where both the equation and the conditions are Sturm–Liouville type. The approach is based on critical point theory.
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Bonanno G., D’Aguì G.: On the Neumann problem for elliptic equations involving the p-Laplacian. J. Math. Anal. Appl. 358, 223–228 (2009)
Bonanno G., D’Aguì G.: A Neumann boundary value problem for the Sturm–Liouville equation. Appl. Math. Comput. 208, 318–327 (2009)
Bonanno G., Molica Bisci G.: Infinitely many solution for a Sturm–Liouville boundary value problem. Bound. Value Prob. 2009, 1–20 (2009)
Bonanno G., Molica Bisci G.: Infinitely many solution for a dirichlet problem involving the p-Laplacian. Proc. Roy. Soc. Edinb. Sect. A 140, 1–16 (2009)
Bonanno G., Riccobono G.: Multiplicity results for Sturm–Liouville boundary problems. Appl. Math. Comput. 210, 294–297 (2009)
Giannessi, F., Maugeri, A., Pardalos, P.M. (eds): Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models. Kluwer, Dordrecht (2002)
Meziat R., Patiño D.: Exact relaxations of non-convex variational problems. Optim. Lett. 2(4), 505–519 (2008)
Pardalos P.M., Rassias T.M., Khan A.A.: Nonlinear Analysis and Variational Problems. Springer, Berlin (2010)
Ricceri B.: A general variational principle and some of its applications. J. Comput. Appl. Math. 133, 401–410 (2000)
Tian Y., Ge W.: Second-order Sturm–Liouville boundary value problem involving the one dimensional p-Laplacian. Rocky Mt. J. Math. 38, 309–327 (2008)
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D’Aguì, G. Infinitely many solutions for a double Sturm–Liouville problem. J Glob Optim 54, 619–625 (2012). https://doi.org/10.1007/s10898-011-9781-3
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DOI: https://doi.org/10.1007/s10898-011-9781-3