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

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

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 v...

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Veröffentlicht in:Mathematical methods in the applied sciences 2023-11, Vol.46 (16), p.16782-16801
Hauptverfasser: Chems Eddine, Nabil, Duc Nguyen, Phuong, Alessandra Ragusa, Maria
Format: Artikel
Sprache:eng
Schlagworte:
Elliptic functions
Mathematical analysis
Nonlinearity
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Zusammenfassung: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.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.9474