Eigenvalue problems for degenerate nonlinear elliptic equations in anisotropic media.
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Motreanu, Dumitru, Rădulescu, Vicenţiu (2005)
Boundary Value Problems [electronic only]
Monica Musso (1998)
Bollettino dell'Unione Matematica Italiana
Ghania Benhamida, Toufik Moussaoui (2018)
Mathematica Bohemica
We use the genus theory to prove the existence and multiplicity of solutions for the fractional -Kirchhoff problem where is an open bounded smooth domain of , , with fixed, , is a numerical parameter, and are continuous functions.
Zhao, Lin, Zhao, Peihao, Xie, Xiaoxia (2011)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Zonghu Xiu, Caisheng Chen (2013)
Annales Polonici Mathematici
We consider the existence and nonexistence of solutions for the following singular quasi-linear elliptic problem with concave and convex nonlinearities: ⎧ , x ∈ Ω, ⎨ ⎩ , x ∈ ∂Ω, where Ω is an exterior domain in , that is, , where D is a bounded domain in with smooth boundary ∂D(=∂Ω), and 0 ∈ Ω. Here λ > 0, 0 ≤ a < (N-p)/p, 1 < p< N, ∂/∂ν is the outward normal derivative on ∂Ω. By the variational method, we prove the existence of multiple solutions. By the test function method,...
B Buffoni (2004)
Annales de l'I.H.P. Analyse non linéaire
Castro, Alfonso, Finan, Marcel B. (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Wu, Mingzhu, Yang, Zuodong (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Xingyong Zhang, Xianhua Tang (2012)
Applications of Mathematics
The existence of solutions for boundary value problems for a nonlinear discrete system involving the -Laplacian is investigated. The approach is based on critical point theory.
Shapour Heidarkhani, Yu Tian, Chun-Lei Tang (2012)
Annales Polonici Mathematici
We establish the existence of at least three weak solutions for the (p1,…,pₙ)-biharmonic system ⎧ in Ω, ⎨ ⎩ on ∂Ω, for 1 ≤ i ≤ n. The proof is based on a recent three critical points theorem.
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