Existence of infinitely many weak solutions for some quasilinear ⃗p(x)-elliptic Neumann problems

Title:

Existence of infinitely many weak solutions for some quasilinear ⃗p(x)-elliptic Neumann problems

Creator:

Ahmed, Ahmed, Ahmedatt, Taghi, Hjiaj, Hassane, and Touzani, Abdelfattah

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:1e9c5887-6872-4dc9-a873-3b9cdd7412d1
uuid:1e9c5887-6872-4dc9-a873-3b9cdd7412d1
doi:10.21136/MB.2017.0037-15

Subject:

Neumann problem, quasilinear elliptic equation, weak solution, variational principle, and anisotropic variable exponent Sobolev space

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We consider the following quasilinear Neumann boundary-value problem of the type − ∑ N i=1 ∂ ⁄ ∂xi ai ( x, ∂u ⁄ ∂xi ) + b(x)|u| p0(x)−2 u = f(x, u) + g(x, u) in Ω, ∂u ⁄ ∂γ = 0 on ∂Ω. We prove the existence of infinitely many weak solutions for our equation in the anisotropic variable exponent Sobolev spaces and we give some examples.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

243-262

Source:

Mathematica bohemica | 2017 Volume:142 | Number:3

Harvested from:

CDK

Metadata only:

false