Advanced search    

Search: authors:"Fei Yang"

2 papers found.
Use AND, OR, NOT, +word, -word, "long phrase", (parentheses) to fine-tune your search.

Positive solutions for nonlocal fourth-order boundary value problems with all order derivatives

In this article, by the fixed point theorem in a cone and the nonlocal fourth-order BVP's Green function, the existence of at least one positive solution for the nonlocal fourth-order boundary value problem with all order derivatives u ( 4 ) ( t ) + A u ″ ( t ) = λ f ( t , u ( t ) , u ′ ( t ) , u ″ ( t ) , u ‴ ( t ) ) , 0 < t < 1 , u ( 0 ) = u ( 1 ) = ∫ 0 1 p ( s ) u ( s ) d s...

L∞ estimates of solutions for the quasilinear parabolic equation with nonlinear gradient term and L1 data

In this article, we study the quasilinear parabolic problem u t - div ( ∇ u m ∇ u ) + u u β - 2 ∇ u q = u u α - 2 ∇ u p + g ( u ) , x ∈ Ω , t > 0 , u ( x , 0 ) = u 0 ( x ) , x ∈ Ω ; u ( x , t ) = 0 , x ∈ ∂ Ω , t ≥ 0 , where Ω is a bounded domain in ℝN, m > 0 and g(u) satisfies |g(u)| ≤ K1|u|1+ν with 0 ≤ ν < m. By the Moser's technique, we prove that if α, β > 1, 0 ≤ p < q, 1 ≤ q...