Nontrivial solutions of discrete Kirchhoff-type problems via Morse theory
Abstract: In this article, we study discrete Kirchhoff-type problems when the nonlinearity is resonant at both zero and infinity. We establish a series of results on the existence of nontrivial solutions by combining variational method with Morse theory. Several examples are provided to illustrate applications of our results.
- Location
-
Deutsche Nationalbibliothek Frankfurt am Main
- Extent
-
Online-Ressource
- Language
-
Englisch
- Bibliographic citation
-
Nontrivial solutions of discrete Kirchhoff-type problems via Morse theory ; volume:11 ; number:1 ; year:2022 ; pages:1352-1364 ; extent:13
Advances in nonlinear analysis ; 11, Heft 1 (2022), 1352-1364 (gesamt 13)
- Creator
-
Long, Yuhua
- DOI
-
10.1515/anona-2022-0251
- URN
-
urn:nbn:de:101:1-2022072014175188153227
- Rights
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
-
15.08.2025, 7:25 AM CEST
Data provider
This object is provided by:
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Long, Yuhua
Other Objects (12)
Nontrivial solutions of inverse discrete problems with sign-changing nonlinearities
Existence of nontrivial weak solutions for p-biharmonic Kirchhoff-type equations
Multiple Nontrivial Solutions for Neumann Problems Involving the p-Laplacian: a Morse Theoretical Approach
Existence of nontrivial solutions for a class of nonlocal Kirchhoff type problems
Computational discrete morse theory
Computational discrete Morse theory
Existence of nontrivial solutions for critical Kirchhoff-Poisson systems in the Heisenberg group
Three solutions for discrete anisotropic Kirchhoff-type problems
Persistence in discrete Morse theory
Generalizations of discrete Morse theory
Nontrivial solutions for resonance quasilinear elliptic systems
A Generalized Discrete Morse–Floer Theory
Nontrivial solutions of inverse discrete problems with sign-changing nonlinearities
Existence of nontrivial weak solutions for p-biharmonic Kirchhoff-type equations
Multiple Nontrivial Solutions for Neumann Problems Involving the p-Laplacian: a Morse Theoretical Approach
Existence of nontrivial solutions for a class of nonlocal Kirchhoff type problems
Computational discrete morse theory
Computational discrete Morse theory
Existence of nontrivial solutions for critical Kirchhoff-Poisson systems in the Heisenberg group
Three solutions for discrete anisotropic Kirchhoff-type problems
Persistence in discrete Morse theory
Generalizations of discrete Morse theory
Nontrivial solutions for resonance quasilinear elliptic systems
A Generalized Discrete Morse–Floer Theory
Nontrivial solutions of inverse discrete problems with sign-changing nonlinearities
Existence of nontrivial weak solutions for p-biharmonic Kirchhoff-type equations
Multiple Nontrivial Solutions for Neumann Problems Involving the p-Laplacian: a Morse Theoretical Approach
Existence of nontrivial solutions for a class of nonlocal Kirchhoff type problems
Computational discrete morse theory
Computational discrete Morse theory
Existence of nontrivial solutions for critical Kirchhoff-Poisson systems in the Heisenberg group
Three solutions for discrete anisotropic Kirchhoff-type problems
Persistence in discrete Morse theory
Generalizations of discrete Morse theory
Nontrivial solutions for resonance quasilinear elliptic systems