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
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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