Existence and multiplicity of solutions for a p ( x ) -Kirchhoff type equation with Steklov boundary

Existence and multiplicity of solutions for a p ( x ) -Kirchhoff type equation with Steklov boundary

In this paper we study a class of p ( x ) -Kirchhoff type problem with Steklov boundary value in variable exponent Sobolev spaces. Precisely, we show the existence of at least three solutions and a nontrivial weak solution.

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Veröffentlicht in:Mathematical notes (Miskolci Egyetem (Hungary)) 2024, Vol.25 (1), p.523-536
1. Verfasser: Yücedag, Zehra
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
Boundary value problems
Sobolev space
Theorems
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Zusammenfassung:In this paper we study a class of p ( x ) -Kirchhoff type problem with Steklov boundary value in variable exponent Sobolev spaces. Precisely, we show the existence of at least three solutions and a nontrivial weak solution.
ISSN:1787-2405
1787-2413
DOI:10.18514/MMN.2024.4321