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POSITIVE SOLUTIONS OF NONLINEAR ELLIPTIC SYSTEMS
Mathematical Models and Methods in Applied Sciences, 1993In this paper we prove the existence of nonnegative and non-trivial solutions of problems of the form [Formula: see text] Our main result improves many previous results of other authors and it may be applied to study the three standard situations: competition, prey-predator and cooperative models.
Cañada, A., Gámez, J. L.
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Initial Position—Solution Process
2021Extensive numerical analyzes with varying moduli of elasticity and varying geometries (diameter and disc size) always show an analogous course of deformations, stresses and distortions at the contact area. These curves rep- resent similar trigonometric functions but with different constant parameters.
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Multiple solutions of positively homogeneous equations
Nonlinear Analysis: Theory, Methods & Applications, 2002The authors study the existence and multiplicity of periodic solutions to the following system \[ u''- Au + \mu u^+ - \nu u^- = v + h(t), \] where \(h\) is a continuous and \(T\)-periodic function, \(v\in \mathbb{R}^N\), and \(A\) is a symmetric matrix. The main results are the following: (1) Under some reasonable assumptions, this system has at least \
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