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In this work we will prove the existence uniqueness and asymptotic behavior of weak solutions for the system (*) involving the pseudo Laplacian operator and the condition ∂u ∂t + n ∑ i=1 ∣∣ ∂u ∂xi… Continue Reading
Abstract In this paper we investigate periodic solutions in t for a nonlinear plate operator L ( u ) = u ″ + Δ 2 u + k ( x , t ) | u ′ | p − 2 u ′ p ≥ 2 . We apply the method of Prodi [G. Prodi,… Continue Reading
In this paper the authors study the existence of local weak solutions of the strongly nonlinear system u′′ +Au + f(u, v)u = h1 v′′ +Av + g(u, v)v = h2 where A is the pseudo-Laplacian operator and f ,… Continue Reading