Stability, bifurcation, and large-amplitude vibration analysis of a symmetric magnetic spherical pendulum. [PDF]
Big-Alabo A, Chuku MT.
europepmc +1 more source
Dynamic Balance: A Thermodynamic Principle for the Emergence of the Golden Ratio in Open Non-Equilibrium Steady States. [PDF]
Ruiz A.
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Optical soliton perturbation with complex ginzburg-landau equation having multiplicative white noise and nine forms of self-phase modulation structures. [PDF]
Zayed EME +8 more
europepmc +1 more source
Observations of a splitting ocean cyclone resulting in subduction of surface waters. [PDF]
Middleton L +25 more
europepmc +1 more source
Implicit Solvent Models and Their Applications in Biophysics. [PDF]
Severoglu YB +5 more
europepmc +1 more source
Variational method for elliptic systems with discontinuous nonlinearities
Abstract A system of two elliptic equations with discontinuous nonlinearities and homogeneous Dirichlet boundary conditions is studied. Existence theorems for strong and semiregular solutions are deduced using a variational method. A strong solution is called semiregular if the set on which the values of the solution are points of ...
Pavlenko, Vyacheslav N. +1 more
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Existence of Solutions for a Class of Semilinear Elliptic Systems via Variational Methods
This is concerned with the existence of solutions to a class of semilinear elliptic systems of the form $$\displaystyle{\left \{\begin{array}{ll} - div(a(x)\nabla u) = \lambda F_{u}(x,u,v)&\mathrm{in}\,\varOmega, \\ - div(b(x)\nabla v) = \lambda F_{v}(x,u,v) &\mathrm{in}\,\varOmega, \\ u = v = 0 &\mathrm{on}\,\partial \varOmega, \end{array} \right.}
G. A. Afrouzi, M. Mirzapour
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Variational Methods for Boundary Value Problems for Systems of Elliptic Equations.
A. Friedman, M. A. Lavrent'ev
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