MMN-4258
Critical point approaches to nonlinear square root Laplacian equations
Martin Bohner; Giuseppe Caristi; Shapour Heidarkhani; Amjad Salari;Abstract
This work is devoted to the study of multiplicity results of
solutions for a class of nonlinear equations involving the square
root of the Laplacian. Indeed, we will use variational methods for
smooth functionals, defined on reflexive Banach spaces, in
order to achieve the existence of at least three solutions for the
equations. Moreover, assuming that the nonlinear terms are
nonnegative, we will prove that the solutions are nonnegative.
Finally, by presenting an example, we will ensure the
applicability of our results.
Vol. 25 (2024), No. 1, pp. 153-164