Skip to main content
Erschienen in: Journal of Applied Mathematics and Computing 1-2/2015

01.10.2015 | Original Research

Multiplicity results for a two-point boundary value problem

verfasst von: Saleh Shakeri, Armin Hadjian

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2015

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

In this paper, multiplicity results of non-trivial and non-negative solutions for Dirichlet quasilinear elliptic problems are established. The approach is based on variational methods.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Afrouzi, G.A., Hadjian, A., Heidarkhani, S.: Non-trivial solutions for a two-point boundary value problem. Ann. Polon. Math. 108, 75–84 (2013)MATHMathSciNetCrossRef Afrouzi, G.A., Hadjian, A., Heidarkhani, S.: Non-trivial solutions for a two-point boundary value problem. Ann. Polon. Math. 108, 75–84 (2013)MATHMathSciNetCrossRef
2.
Zurück zum Zitat Ambrosetti, A., Rabinowitz, P.H.: Dual variational methods in critical point theory and applications. J. Funct. Anal. 14, 349–381 (1973)MATHMathSciNetCrossRef Ambrosetti, A., Rabinowitz, P.H.: Dual variational methods in critical point theory and applications. J. Funct. Anal. 14, 349–381 (1973)MATHMathSciNetCrossRef
4.
Zurück zum Zitat Bonanno, G., Di Bella, B., O’Regan, D.: Non-trivial solutions for nonlinear fourth-order elastic beam equations. Comput. Math. Appl. 62, 1862–1869 (2011)MATHMathSciNetCrossRef Bonanno, G., Di Bella, B., O’Regan, D.: Non-trivial solutions for nonlinear fourth-order elastic beam equations. Comput. Math. Appl. 62, 1862–1869 (2011)MATHMathSciNetCrossRef
5.
Zurück zum Zitat Bonanno, G., Heidarkhani, S., O’Regan, D.: Nontrivial solutions for Sturm-Liouville systems via a local minimum theorem for functionals. Bull. Aust. Math. Soc. 89, 8–18 (2014)MATHMathSciNetCrossRef Bonanno, G., Heidarkhani, S., O’Regan, D.: Nontrivial solutions for Sturm-Liouville systems via a local minimum theorem for functionals. Bull. Aust. Math. Soc. 89, 8–18 (2014)MATHMathSciNetCrossRef
6.
Zurück zum Zitat Bonanno, G., Molica Bisci, G., Rădulescu, V.: Nonlinear elliptic problems on Riemannian manifolds and applications to Emden-Fowler type equations. Manuscripta Math. 142, 157–185 (2013)MATHMathSciNetCrossRef Bonanno, G., Molica Bisci, G., Rădulescu, V.: Nonlinear elliptic problems on Riemannian manifolds and applications to Emden-Fowler type equations. Manuscripta Math. 142, 157–185 (2013)MATHMathSciNetCrossRef
7.
Zurück zum Zitat Bonanno, G., Molica Bisci, G., Rădulescu, V.: Weak solutions and energy estimates for a class of nonlinear elliptic Neumann problems. Adv. Nonlinear Stud. 13, 373–389 (2013)MATHMathSciNet Bonanno, G., Molica Bisci, G., Rădulescu, V.: Weak solutions and energy estimates for a class of nonlinear elliptic Neumann problems. Adv. Nonlinear Stud. 13, 373–389 (2013)MATHMathSciNet
8.
Zurück zum Zitat Bonanno, G., Pizzimenti, P.F.: Neumann boundary value problems with not coercive potential. Mediterr. J. Math. 9, 601–609 (2012)MATHMathSciNetCrossRef Bonanno, G., Pizzimenti, P.F.: Neumann boundary value problems with not coercive potential. Mediterr. J. Math. 9, 601–609 (2012)MATHMathSciNetCrossRef
9.
Zurück zum Zitat Bonanno, G., Sciammetta, A.: An existence result of one nontrivial solution for two point boundary value problems. Bull. Aust. Math. Soc. 84, 288–299 (2011)MATHMathSciNetCrossRef Bonanno, G., Sciammetta, A.: An existence result of one nontrivial solution for two point boundary value problems. Bull. Aust. Math. Soc. 84, 288–299 (2011)MATHMathSciNetCrossRef
10.
Zurück zum Zitat Bonanno, G., Sciammetta, A.: Existence and multiplicity results to Neumann problems for elliptic equations involving the \(p\)-Laplacian. J. Math. Anal. Appl. 390, 59–67 (2012)MATHMathSciNetCrossRef Bonanno, G., Sciammetta, A.: Existence and multiplicity results to Neumann problems for elliptic equations involving the \(p\)-Laplacian. J. Math. Anal. Appl. 390, 59–67 (2012)MATHMathSciNetCrossRef
11.
Zurück zum Zitat D’Aguì, G.: Existence results for a mixed boundary value problem with Sturm-Liouville equation. Adv. Pure Appl. Math. 2, 237–248 (2011)MathSciNet D’Aguì, G.: Existence results for a mixed boundary value problem with Sturm-Liouville equation. Adv. Pure Appl. Math. 2, 237–248 (2011)MathSciNet
12.
Zurück zum Zitat D’Aguì, G.: G.: Multiplicity results for nonlinear mixed boundary value problem. Bound. Value Probl. 134, 12 (2012) D’Aguì, G.: G.: Multiplicity results for nonlinear mixed boundary value problem. Bound. Value Probl. 134, 12 (2012)
13.
Zurück zum Zitat Ghergu, M., Rădulescu, V.: Singular Elliptic Problems: Bifurcation and Asymptotic Analysis. Oxford Lecture Series in Mathematics and its Applications, vol. 37. Oxford University Press, New York (2008) Ghergu, M., Rădulescu, V.: Singular Elliptic Problems: Bifurcation and Asymptotic Analysis. Oxford Lecture Series in Mathematics and its Applications, vol. 37. Oxford University Press, New York (2008)
14.
Zurück zum Zitat Heidarkhani, S., Motreanu, D.: Multiplicity results for a two-point boundary value problem. Panamer. Math. J. 19, 69–78 (2009)MATHMathSciNet Heidarkhani, S., Motreanu, D.: Multiplicity results for a two-point boundary value problem. Panamer. Math. J. 19, 69–78 (2009)MATHMathSciNet
15.
Zurück zum Zitat Kristály, A., Rădulescu, V., Varga, Cs.: Variational Principles in Mathematical Physics, Geometry, and Economics: Qualitative Analysis of Nonlinear Equations and Unilateral Problems, Encyclopedia Math. Appl., vol. 136, Cambridge Univ. Press, Cambridge (2010) Kristály, A., Rădulescu, V., Varga, Cs.: Variational Principles in Mathematical Physics, Geometry, and Economics: Qualitative Analysis of Nonlinear Equations and Unilateral Problems, Encyclopedia Math. Appl., vol. 136, Cambridge Univ. Press, Cambridge (2010)
16.
Zurück zum Zitat Pizzimenti, P.F., Sciammetta, A.: Existence results for a quasi-linear differential problem. Matematiche (Catania) 66, 163–171 (2011)MATHMathSciNet Pizzimenti, P.F., Sciammetta, A.: Existence results for a quasi-linear differential problem. Matematiche (Catania) 66, 163–171 (2011)MATHMathSciNet
18.
Zurück zum Zitat Pucci, P., Serrin, J.: The strong maximum principle revisited, J. Differ. Equ., 196 (2004), 1–66; Erratum, ibid., 207, 226–227 (2004) Pucci, P., Serrin, J.: The strong maximum principle revisited, J. Differ. Equ., 196 (2004), 1–66; Erratum, ibid., 207, 226–227 (2004)
19.
Zurück zum Zitat Rabinowitz, P.H.: Minimax Methods in Critical Point Theory with Applications to Differential Equations, Regional Conference Series in Mathematics, vol. 65, Amer. Math. Soc., Providence, RI (1986) Rabinowitz, P.H.: Minimax Methods in Critical Point Theory with Applications to Differential Equations, Regional Conference Series in Mathematics, vol. 65, Amer. Math. Soc., Providence, RI (1986)
20.
21.
Zurück zum Zitat Talenti, G.: Some inequalities of Sobolev type on two-dimensional spheres, In: W. Walter (eds.), General Inequalities, vol. 5, In: Internat. Ser. Numer. Math. Birkhäuser, Basel, 80, 401–408 (1987) Talenti, G.: Some inequalities of Sobolev type on two-dimensional spheres, In: W. Walter (eds.), General Inequalities, vol. 5, In: Internat. Ser. Numer. Math. Birkhäuser, Basel, 80, 401–408 (1987)
Metadaten
Titel
Multiplicity results for a two-point boundary value problem
verfasst von
Saleh Shakeri
Armin Hadjian
Publikationsdatum
01.10.2015
Verlag
Springer Berlin Heidelberg
Erschienen in
Journal of Applied Mathematics and Computing / Ausgabe 1-2/2015
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-014-0841-y

Weitere Artikel der Ausgabe 1-2/2015

Journal of Applied Mathematics and Computing 1-2/2015 Zur Ausgabe