Mathematica Bohemica, first online, pp. 1-16


Multiplicity results for a boundary value problem of $p$-Kirchhoff type on the half-line via genus theory

Amel Rahmani, Toufik Moussaoui

Received March 19, 2025.   Published online October 20, 2025.

Abstract:  We study the existence and multiplicity of infinitely distinct pairs of nontrivial solutions for a boundary value problem of Kirchhoff type posed on the half-line via the genus theory, which is a technique in critical point theory.
Keywords:  genus theory; variational method; half-line; Kirchhoff equation; Palais-Smale condition
Classification MSC:  35J20, 35B38, 34B40, 74G35

PDF available at:  Institute of Mathematics CAS

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Affiliations:   Amel Rahmani, Toufik Moussaoui (corresponding author), Laboratory of Fixed Point Theory and Applications, Department of Mathematics, École Normale Supérieure de Kouba, B.P. 92, Vieux-Kouba, 16308, Algiers, Algeria, e-mail: amel.rahmani@g.ens-kouba.dz, toufik.moussaoui@g.ens-kouba.dz


 
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