Existence of solutions for a class of noncoercive elliptic systems.

Autor:	Cirmi, G. R., D'Asero, S., Leonardi, S.
Předmět:	DIRICHLET problem
Zdroj:	AIP Conference Proceedings; 2022, Vol. 2425 Issue 1, p1-5, 5p
Abstrakt:	We prove existence of a weak solution u of the following nonlinear vectorial Dirichlet problem { u ∈ W 0 1 , 2 (Ω , ℝ N) − ∑ i = 1 n D i A i v (x , u , D u) = − ∑ i = 1 n D i ( ∑ j = 1 N E i v j (x) u j ) x ∈ Ω where Ω is a bounded subset of ℝn, n ≥ 3, uν and fν, for any ν = 1, 2,..., N, are the ν−th components of the vectors u and f , respectively, and the tensors A(x, s, ξ) and E(x) satisfy suitable structural assumptions. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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