In this article, we study the existence and nonexistence of global solutions to Cahn-Hilliard equation with variable exponent sources arbitrary initial energy. We also asymptotic behavior weak solutions. Our results extend some recent Han [11]to PDEs sources.

Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. This paper studies the existence, and multiplicity of positive solutions of a singular boundary value problem for second-order differential systems with impulse effects. By using the upper and lower solutions method and fixed point ind...

In this paper we study the problem {− u+ u+ λφu= up, − φ = u2, lim|x|→+∞ φ(x)= 0, where u,φ :R3 →R are positive radial functions, λ > 0 and 1 <p < 5. We give existence and nonexistence results, depending on the parameters p and λ. It turns out that p = 2 is a critical value for the existence of solutions. © 2006 Elsevier Inc. All rights reserved.

Abstract This article engages with the legal regulation of end-of-existence decisionmaking for novel beings, specifically assisted nonexistence such entities. The author explains concept a model death by reference to substantive features regimes in three jurisdictions which suicide or euthanasia is lawful. He considers how these models might fit beings who may require prefer assistance end thei...

In this paper, a class of second order impulsive differential equations with integral boundary conditions on time scales are considered. Under different combinations of superlineary and sublinearity of nonlinear term and the impulses, some existence, multiplicity, and nonexistence criteria of positive solutions are established based on Guo-Krasnosel’skii fixed point theorem, which are new and c...

We introduce and study a common generalization of 1-error binary perfect codes and perfect single error correcting codes in Lee metric, namely perfect codes on products of paths of length 2 and of infinite length. Both existence and nonexistence results are given.

This paper is concerned with a diffusive predator-prey model with BeddingtonDeAngelis functional response under Robin boundary conditions. We establish the existence and nonexistence of coexistence solutions and give some sufficient and necessary conditions. In addition, the stability of coexistence solutions is investigated. Furthermore, the extinction and permanence of time-dependent system a...

Our approach is a natural continuation of the algorithm which is presented in [3]. We prove the nonexistence of BOAs of parameters (length, cardinality, strength) = (9, 7.2 = 112, 4) and (10, 7.2 = 224, 5), resolving two cases where the existence was undecided up to now.