1,720,986 research outputs found
Classes of elliptic matrices
No full text The equivalence between some conditions concerning elliptic matrices is shown, namely, the Cordes condition, a generalized form of Campanato's condition, and a generalized form of a condition of Buică.</p
Near operators theory and fully nonlinear elliptic equations
No full textWe give a short survey of the Campanato near operators theory and of its applications to fully nonlinear elliptic equations
On Cordes and Campanato Conditions
No full textLet A(x) = {aij(x)}i,j=1,⋯,n be a uniformly elliptic matrix with L∞(Ω) coefficients, Ω be an open bounded set in Rn. We study the connection between Cordes Condition: exists E ∈ (0,1) such that A figure is presented. a.e. in Ω, and Condition A of Campanato: there exist three real constants α, γ, δ with α > 0, γ > 0, δ ≥ 0, γ + δ < 1, such that A figure is presented. A figure is presente
Sistemi parabolici non variazionali con soluzioni verificanti una condizione di periodicita' generalizzata
No full textSome topological properties preserved by nearness between operators and applications to P.D.E.
Full text linkUn equazione differenziale del primo ordine in spazi di Hilbert le cui soluzioni verificano una condizione di periodicita' generalizzata
No full textLet H and Q be Hilbert spaces, H* the dual of H, H subset-of Q subset-of H*, H dense in Q. Let i: H --> Q continuous, J is-an-element-of L(H*, H) the operator defined by the relation (Ju,v)H = [u,v] for-all u is-an-element-of H*, for-all v is-an-element-of H. Let [alpha, beta] be an interval of R, A(t) is-an-element-of L(H, H), B is-an-element-of L(Q, Q). We prove the existence of a unique solution u is-an-element-of L2(alpha, beta, H) and C0([alpha, beta], Q) and H1/2(alpha, beta, Q) of the problem: A(t)u(t) + (Ju(t))' = Jf(t) on [alpha, beta], where f is-an-element-of L2(alpha, beta, H*), u(alpha) = Bu(beta). (If B = Id(Q), this it is the classic periodic problem). If i is compact, if parallel-to Bu parallel-to H less-than-or-equal-to parallel-to u parallel-to H if f is-an-element-of L2(alpha, beta, Q) and A(t) = kI (k > 0) we prove that u is-an-element-of H1/2 (alpha, beta, H) and H1 (alpha, beta, Q) and C0 ([alpha, beta], H). If A(t) = A(t + T), for-all t is-an-element-of R, we study the analogous problem in R
Periodic solutions to nonlocal MEMS equations
No full textCombining a priori estimates with penalization techniques and an implicit function argument based on Campanato's near operators theory, we obtain the existence of periodic solutions for a fourth order integro-differential equation modelling actuators in MEMS devices
Global Solvability of Dirichlet Problem for Fully Nonlinear Elliptic Systems
No full textWe show existence theorems of global strong solutions of Dirichlet problem for second order fully
nonlinear systems that satisfy the Campanato’s condition of ellipticity. We use the Campanato’s near
operators theory
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