Our goal in this work is to investigate the existence of ground state solutions, i.e., solutions with the least energy, for a bi-nonlocal Kirchhoff-type problem with variable exponents on compact Riemannian manifolds. Using a minimization argument combined with a quantitative deformation lemma and Brouwer degree theory, we establish the existence of solutions for the problem under consideration.
EXISTENCE OF GROUND STATE SOLUTIONS FOR A CLASS OF BI-NON-LOCAL KIRCHHOFF-TYPE PROBLEMS WITH VARIABLE EXPONENTS
M. A. Ragusa
2025-01-01
Abstract
Our goal in this work is to investigate the existence of ground state solutions, i.e., solutions with the least energy, for a bi-nonlocal Kirchhoff-type problem with variable exponents on compact Riemannian manifolds. Using a minimization argument combined with a quantitative deformation lemma and Brouwer degree theory, we establish the existence of solutions for the problem under consideration.File in questo prodotto:
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