EXISTENCE OF SOLUTIONS FOR NONLINEAR EQUATIONS WITH MIXED LOCAL AND NONLOCAL OPERATORS

Annals of the Academy of Romanian Scientists Series on Mathematics and Its Application 2026 Open access

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Authors: Antonio Iannizzotto
DOI: 10.56082/annalsarscimath.2026.1.207
Cited by: 0

Abstract

We study an elliptic equation, with homogeneous Dirichlet bound-ary conditions, driven by a mixed type operator (the sum of the Lapla-cian and the fractional Laplacian), involving a parametric reaction and an undetermined source term. Applying a recent abstract critical point theorem of Ricceri, we prove existence of a solution for a convenient source and small enough parameters.

Fields of Study & Subjects

Nonlinear Partial Differential Equations Nonlinear Differential Equations Analysis Contact Mechanics and Variational Inequalities

Publication details

Journal / source
Annals of the Academy of Romanian Scientists Series on Mathematics and Its Application
Volume
18
Issue
1
Pages
207–216
Publication date
1 January 2026
Language
EN