Exact multiplicity of positive solutions for a class of semilinear equations on a ball.
A global solution curve for a class of semilinear equations.
Computation of displacements for nonlinear elastic beam models using monotone iterations.
Similarity of solution branches for two-point semilinear problems.
A global approach to ground state solutions.
Instability and exact multiplicity of solutions of semilinear equations.
Infinitely many solutions at a resonance.
On the direction of pitchfork bifurcation.
Homoclinic orbits for a class of symmetric Hamiltonian systems.
A periodic model for the dynamics of cell volume
We prove the existence and uniqueness of a positive periodic solution for a model describing the dynamics of cell volume flux, introduced by Julio A. Hernández [Bull. Math. Biol. 69 (2007), 1631-1648]. We also show that the periodic solution is a global attractor. Our results confirm the conjectures made in an interesting recent book of P. J. Torres [Atlantis Press, 2015].
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