UNIFORM ATTRACTORS FOR NON-AUTONOMOUS PLATE EQUATIONS WITH p-LAPLACIAN PERTURBATION AND CRITICAL NONLINEARITIES

Autor(es)

Yang, Xin-Guang ^[1] ; Nascimento, Marcelo J. D. ^[2] ; Pelicer, Mauricio L. ^[3]

Afiliação do(s) autor(es)

^[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan - Peoples R China

^[2] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP - Brazil

^[3] Univ Estadual Maringa, Dept Ciencias, Campus Reg Goioere, BR-87360000 Goioere, PR - Brazil

• Tipo de documento: Artigo Científico
• Fonte: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS; v. 40, n. 3, p. 1937-1961, MAR 2020.
• Citações Web of Science: 0

Resumo

This paper is concerned with the long-time behavior for a class of non-autonomous plate equations with perturbation and strong damping of p-Laplacian type u(tt) + Delta(2)u + alpha(epsilon)(t)u(t) - Delta(p)u - Delta u(t) + f(u) = g(x,t), in bounded domain Omega subset of R-N with smooth boundary and critical nonlinear terms. The global existence of weak solution which generates a continuous process has been presented firstly, then the existence of strong and weak uniform attractors with non-compact external forces also derived. Moreover, the upper-semicontinuity of uniform attractors under small perturbations has also obtained by delicate estimate and contradiction argument. (AU)

• Processo FAPESP: 17/06582-2 - Comportamento assintótico para problemas semilineares não-autônomos
• Beneficiário: Marcelo José Dias Nascimento
• Modalidade de apoio: Auxílio à Pesquisa - Regular