[en] We investigate the large-time behavior of solutions for a class of inhomogeneous semilinear wave equations involving double damping and potential terms. Namely, we first establish a general criterium for the absence of global weak solutions. Next, some special cases of potential and inhomogeneous terms are studied. In particular, when the inhomogeneous term depends only on the variable space, the Fujita critical exponent and the second critical exponent in the sense of Lee and Ni are derived.
Journal
Chaos, Solitons and Fractals; ISSN 0960-0779; 
; v. 144; vp
; v. 144; vp
[en] Highlights: We give an existence theorem of fixed point for a general weak contraction of integral type. Our condition does not require additional conditions for the uniqueness of the fixed point. The continuity of the self-mapping is not required. Abstract: We give a fixed point theorem for a self-mapping satisfying a general contractive condition of integral type in orbitally complete metric spaces. Some examples are given to illustrate our obtained result.
Journal
Chaos, Solitons and Fractals; ISSN 0960-0779; ; v. 44(12); p. 1075-1079
; v. 44(12); p. 1075-1079
[en] We consider a nonlinear nonparametric Dirichlet problem driven by the sum of a p-Laplacian and of a Laplacian (a (p, 2)-equation) and a reaction which involves a singular term and a -superlinear perturbation. Using variational tools and suitable truncation and comparison techniques, we show that the problem has two positive smooth solutions.
Journal
Zeitschrift fuer Angewandte Mathematik und Physik; ISSN 0044-2275; ; CODEN ZAMPA8; v. 70(3); p. 1-10
; CODEN ZAMPA8; v. 70(3); p. 1-10