The aim of this paper is investigating the existence of solutions of the quasilinear elliptic problem (Equation) where Ω is an open bounded domain of RN with C2 boundary δΩ, Δpu = div(|∇u|p-2∇u), 1 < p < q < p*, f ∈ C(Ω) and θ ∈ C 2(Ω). By means of the so-called Bolle's method in [3, 4], we extend a result in [10] where the authors consider Ω =]0,1[N and u = 0 on ∂Ω.
Infinitely many solutions for quasilinear elliptic problems with broken symmetry / Bartolo, Rossella. - In: ADVANCED NONLINEAR STUDIES. - ISSN 1536-1365. - STAMPA. - 13:3(2013), pp. 739-749. [10.1515/ans-2013-0308]
Infinitely many solutions for quasilinear elliptic problems with broken symmetry
BARTOLO, Rossella
2013-01-01
Abstract
The aim of this paper is investigating the existence of solutions of the quasilinear elliptic problem (Equation) where Ω is an open bounded domain of RN with C2 boundary δΩ, Δpu = div(|∇u|p-2∇u), 1 < p < q < p*, f ∈ C(Ω) and θ ∈ C 2(Ω). By means of the so-called Bolle's method in [3, 4], we extend a result in [10] where the authors consider Ω =]0,1[N and u = 0 on ∂Ω.File in questo prodotto:
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