The Existence of Nontrivial Solutions to a Class of Quasilinear Equations
Keyword(s):
In this paper, we study the following quasilinear equation: − div ϕ ∇ u ∇ u + ϕ u u = f u in ℝ N , where ϕ ∈ C 1 ℝ + , ℝ + and Φ t = ∫ 0 t s ϕ ∣ s ∣ d s . In the Orlicz-Sobolev space, by variational methods and a minimax theorem, we prove the equation has a nontrivial solution.
2010 ◽
Vol 12
(03)
◽
pp. 475-486
◽
2018 ◽
Vol 20
(04)
◽
pp. 1750037
◽
2019 ◽
Vol 62
(3)
◽
pp. 607-621
◽
2012 ◽
Vol 14
(01)
◽
pp. 1250001
◽
Keyword(s):