Existence and multiplicity of solutions for the Kirchhoff BVPs via genus theory on the half-line

  • Amel Rahmani ENS Kouba
  • Toufik Moussaoui ENS Kouba

Resumo

The aim of this paper is to establish the existence and multiplicity of solutions for fourth-order boundary value problem of Kirchhoff type posed on the half-line via Krasnoselskii's genus theory.

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Referências

H. Brezis, Functional Analysis, Sobolev Spaces and Partial Differential Equations, Springer, New York, 2010.

M. Briki, T. Moussaoui, D. Oregan, Existence of solutions for a fourth-order boundary value problem on the half-line via critical point theory, Electronic Journal of Qualitative Theory of Differential Equations, 24(2016), 1-11.

K.C. Chang. Critical Point Theory and Applications, Shanghai Scientific and Technology Press, Shanghai, (1986).

D.C. Clarke, A variant of the Lusternik-Schnirelman theory, Indiana Univ. Math. J., (22)1972, 65-74.

O. Kavian, Introduction a la Theorie des Points Critiques et Applications aux Problemes Elliptiques, Springer-Verlag, 1993.

G. Kirchhoff, Mechanik, Teubner, Leipzig., 1883.

M.A. Krasnoselskii, Methods in the Theory of Nonlinear Integral equations, MacMillan, New York, 1964.

E. Zeidler, Nonlinear Function Analysis and its Applications, vol. II/B: Nonlinear Monotone Operators, Springer, New York, 1990.

Publicado
2025-09-02
Seção
Artigos