Geodesic
Sign-changing solutions with prescribed number of nodes for elliptic equations with fast increasing weight
Filomat, Tome 37 (2023) no. 17, p. 5751

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DOI

In this article, we study the problem −∆u − 1 2 (x · ∇u) = f (u), x ∈ R 2, where f : R → R is a superlinear continuous function with exponential subcritical or exponential critical growth. The main results obtained in this paper are that for any given integer k ≥ 1, there exists a pair of sign-changing radial solutions u + k and u − k possessing exactly k nodes.
DOI : 10.2298/FIL2317751T
Classification : 35J20, 35J60
Keywords: Variational methods, sign-changing solutions, critical exponential growth 
Yonghui Tong; Giovany M Figueiredo. Sign-changing solutions with prescribed number of nodes for elliptic equations with fast increasing weight. Filomat, Tome 37 (2023) no. 17, p. 5751 . doi: 10.2298/FIL2317751T
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     author = {Yonghui Tong and Giovany M Figueiredo},
     title = {Sign-changing solutions with prescribed number of nodes for elliptic equations with fast increasing weight},
     journal = {Filomat},
     pages = {5751 },
     year = {2023},
     volume = {37},
     number = {17},
     doi = {10.2298/FIL2317751T},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2317751T/}
}
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