Regularity Estimates for Fully Nonlinear Dead‐Core Problems With a Hamiltonian Term
ABSTRACT In this paper, we present a problem involving fully nonlinear elliptic operators with Hamiltonian, which can present a singularity or degenerate as the gradient approaches the origin. The model studied here, allows the appearance of plateau zones, i.e., unknown regions of the domain in which the non‐negative solutions vanishes.
Rafael R. Costa, Ginaldo S. Sá
wiley +1 more source
Analysis of an SIR model: preventive measures, bounded multiplicative random perturbations and optimal control strategies. [PDF]
Karaji PT, Nyamoradi N.
europepmc +1 more source
Traveling Fronts for (q,r)$(q, r)$‐Relativistic Operators: Existence and Asymptotic Properties
ABSTRACT A new reaction–diffusion model governed by a (q,r)$(q, r)$‐relativistic type diffusion, generalizing the p$p$‐relativistic one and encompassing singular and/or degenerate diffusivity, is introduced. In the monostable case, some existence results for (decreasing) fronts are then provided, exploiting the study of a suitable two‐point problem ...
Pavel Drábek +2 more
wiley +1 more source
Multitype SIR epidemics among a population partitioned into households with proportionate global mixing. [PDF]
Ball F, Critcher L.
europepmc +1 more source
A Boothby–Wang Construction in Generalized Contact Geometry
ABSTRACT We establish a generalized analogue of the Boothby–Wang theorem in generalized contact geometry, along with related results. We present a general method for constructing examples of generalized contact structures that are not of Poon–Wade type, and even examples that fail to be generalized contact structures.
Debjit Pal
wiley +1 more source
Quantum Systems at The Brink: Helium-Type Systems. [PDF]
Hundertmark D, Jex M, Lange M.
europepmc +1 more source
Nonconstant Positive Steady States for a Predator–Prey System With Signal‐Dependent Diffusion
ABSTRACT This paper investigates a highly nonlinear predator–prey reaction–diffusion system featuring signal‐dependent prey diffusion, where the motility of the prey is modulated by a chemical signal released by predators. For unbounded functional responses, we establish the global‐in‐time existence and uniform‐in‐time boundedness of classical ...
Qigang Deng +3 more
wiley +1 more source
Optimal Vaccination for Contagious Diseases with Seasonal Transmission. [PDF]
Gavish N, Katriel G.
europepmc +1 more source
Are Start‐Up Acquisitions by Dominant Firms Driving Innovation or Killing Competition?
ABSTRACT This paper develops a sequential model to examine start‐up acquisitions in markets with network externalities, incorporating a pre‐entry strategic buyout option that allows the incumbent to integrate the start‐up's innovation, followed by post‐entry expenditure on coordination advertising, and defensive pricing strategies.
Adele Whelan, Kate Hynes
wiley +1 more source
Weak convergence of stochastic integrals on Skorokhod space in Skorokhod's J 1 and M 1 topologies. [PDF]
Søjmark A, Wunderlich F.
europepmc +1 more source

