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Mathematical Methods in the Applied Sciences
Article . 2023 . Peer-reviewed
License: CC BY
Data sources: Crossref
https://dx.doi.org/10.60692/gx...
Other literature type . 2023
Data sources: Datacite
https://dx.doi.org/10.60692/62...
Other literature type . 2023
Data sources: Datacite
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Existence and multiplicity of solutions for a class of critical anisotropic elliptic equations of Schrödinger–Kirchhoff‐type

وجود وتعدد الحلول لفئة من المعادلات البيضاوية متباينة الخواص الحرجة من نوعشرودنجر-كيرشوف
Authors: Nabil Chems Eddine; Phuong D. Nguyen; Maria Alessandra Ragusa;

Existence and multiplicity of solutions for a class of critical anisotropic elliptic equations of Schrödinger–Kirchhoff‐type

Abstract

In this article, we obtain the existence and infinitely many nontrivial solutions for a class of nonlinear critical anisotropic elliptic equations involving variable exponents and two real parameters, via combining the variational method, and the concentration‐compactness principle for anisotropic variable exponent under suitable assumptions on the nonlinearities.

Keywords

Schrodinger-Kirchhoff-type problems, Dirichlet boundary conditions, p (x)-Laplacian, Anisotropic variable mean curvature oper ator, Anisotropic variable exponent Sobolev spaces, Concentration-compactness principle, Artificial intelligence, Class (philosophy), Inverse Problems in Mathematical Physics and Imaging, Geometry, Compact space, Mathematical analysis, Quantum mechanics, Scaling, Variational Problems, Fractional Laplacian Operators, Elliptic curve, FOS: Mathematics, Multiscale Methods for Heterogeneous Systems, Variable (mathematics), Nonlinear Equations, Mathematical Physics, Exponent, Applied Mathematics, Physics, Critical Exponents, Pure mathematics, Linguistics, Elliptic Problems, Applied mathematics, Critical exponent, Computer science, FOS: Philosophy, ethics and religion, Philosophy, Multiplicity (mathematics), Computational Theory and Mathematics, Physical Sciences, Computer Science, Nonlinear system, FOS: Languages and literature, Anisotropy, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
22
Top 10%
Top 10%
Top 10%
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