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Start Over Subject anisotropic variable exponent Sobolev space

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

Creator:
Ahmed, Ahmed, Ahmedatt, Taghi, Hjiaj, Hassane, and Touzani, Abdelfattah
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
Neumann problem, quasilinear elliptic equation, weak solution, variational principle, and anisotropic variable exponent Sobolev space
Language:
English
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.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public