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A non-local non-autonomous diffusion problem: linear and sublinear cases
In this work we investigate an elliptic problem with a non-local non-autonomous diffusion coefficient. Mainly, we use bifurcation arguments to obtain...
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Patterns in a nonlocal time-delayed reaction–diffusion equation
In this paper, the existence, stability, and multiplicity of nontrivial (spatially homogeneous or nonhomogeneous) steady-state solution and periodic...
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Qualitative analysis of stationary Keller–Segel chemotaxis models with logistic growth
We study the stationary Keller–Segel chemotaxis models with logistic cellular growth over a one-dimensional region subject to the Neumann boundary...
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Bifurcation under parameter change of Riemann solutions for nonstrictly hyperbolic systems
We study the bifurcation of Riemann solutions due to parameter change that alters the type of an umbilic point existing in state space. Solutions...
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On the semilinear elliptic equations of electrostatic NEMS devices
In this paper, we analyze a class of semilinear elliptic equations with boundary value problem based on electrostatic nanoelectromechanical system....
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Existence and uniqueness of steady state solutions of a nonlocal diffusive logistic equation
In this paper, we consider a dynamical model of population biology which is of the classical Fisher type, but the competition interaction between...
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Periodic solutions of a periodically forced and undamped beam resting on weakly elastic bearings
We study the problem of existence of periodic solutions to a partial differential equation modelling the behavior of an undamped beam subject to an...
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A codimension seven unfolding of a third harmonic resonant interaction between two contiguous continua
In this paper we study the capillary-gravity profiles which may occur at the interface of two fluids when the fundamental mode and its third...
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Bifurcating fronts for the Taylor—Couette problem in infinite cylinders
We show the existence of bifurcating fronts for the weakly unstable Taylor—Couette problem in an infinite cylinder. These fronts connect a...
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Symmetry and scaling properties of the von Kármán equations
We study symmetries in the von Kármán equations with simply supported boundary conditions on rectangular domains. By embedding this fourth order...