Unusual existence theorems for nonlocal inhomogeneous elliptic equations      

3  44   2024/04/14           Cite
Authors:

Research Videos ( author1@researchvideos.net )

Abstract :

In this research, we prove two unusual existence theorems for nonlocal inhomogeneous elliptic equations.

Keywords :

["Nonlinear elliptic equation","Inhomogeneous equation","Localization","Convex dense set","Minimax theorem"]

Disciplines :

Mathematics

Subdisciplines :

Calculus , Differential Equations , Mathematical Analysis

Video Type :

2D

Publishing Licence :

Open-access

Submitted On :

2024/04/14

References :

{[1] F. Faraci, A. Iannizzotto, An extension of a multiplicity theorem by Ricceri with an application to a class of quasilinear equations, Stud. Math. 172 (2006) 275–287.
[2] G.J. Minty, On the extension of Lipschitz, Lipschitz-Hölder continuous, and monotone functions, Bull. Am. Math. Soc. 76 (1970) 334–339.
[3] B. Ricceri, A general variational principle and some of its applications, J. Comput. Appl. Math. 113 (2000) 401–410.
[4] B. Ricceri, A general multiplicity theorem for certain nonlinear equations in Hilbert spaces, Proc. Am. Math. Soc. 133 (2005) 3255–3261.
[5] B. Ricceri, On a minimax theorem: an improvement, a new proof and an overview of its applications, Minimax Theory Appl. 2 (2017) 99–152.
[6] B. Ricceri, Multiplicity theorems involving functions with non-convex range, Stud. Univ. Babeş–Bolyai, Math. 68 (2023) 125–137.
[7] I.G. Tsar’kov, Nonunique solvability of certain differential equations and their connection with geometric approximation theory, Math. Notes 75 (2004) 259–271.
[8] E. Zeidler, Nonlinear Functional Analysis and Its Applications, vol. III, Springer–Verlag, 1985.}

RVOI :
https://rvoi.org/Math/Apr/2024/661c53edc82d5

DOI :
https://doi.org/10.1016/j.jmaa.2024.128264

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