A Brézis–Nirenberg Type Problem for a Class of Degenerate Elliptic Problems Involving the Grushin Operator
Author:
Funder
CNPq/Brazil
Projecto Universal FAPESQ-PB
DST/SERB
2019-EMR-I
National Centre for HPC, Big Data and Quantum Computing
Publisher
Springer Science and Business Media LLC
Subject
Geometry and Topology
Link
https://link.springer.com/content/pdf/10.1007/s12220-023-01507-3.pdf
Reference43 articles.
1. Alves, C.O., de Holanda, A.R.F.: A Berestycki–Lions type result for a class of degenerate elliptic problems involving the Grushin operator. Proc. R. Soc. Edinb. (2022). https://doi.org/10.1017/prm.2022.43
2. Alves, C.O., de Holanda, A.R.F.: Existence of the solution for a class of the semilinear degenerate elliptic equation involving the Grushin operator in $$\mathbb{R} ^2$$: The interaction between Grushin’s critical exponent and exponential growth. Math. Nachr. (2023). https://doi.org/10.1002/mana.202300171
3. Alves, C.O., Montenegro, M., Souto, M.A.: Existence of a ground state solution for a nonlinear scalar field equation with critical growth. Calc. Var. PDEs 43, 537–554 (2012)
4. Alves, C.O., Figueiredo, G.M., Siciliano, G.: Ground state solutions for fractional scalar field equations under a general critical nonlinearity. Commun. Pure Appl. Anal. 18, 2199–2215 (2019)
5. Alves, C.O., Carrião, P.C., Miyagaki, O.H.: Nonlinear perturbations of a periodic elliptic problem with critical growth. J. Math. Anal. Appl. 260(1), 133–146 (2001)
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