1,721,165 research outputs found
A multiplicity result for the nonlinear Schrödinger-Maxwell equations
No full textIn this paper it is proved the existence of a sequence of radial solutions
of the Schr ̈odinger-Maxwell equations
A multiplicity result for the nonlinear Schrödinger-Maxwell equations
No full textIn this paper it is proved the existence of a sequence of radial solutions
of the Schr ̈odinger-Maxwell equations
A multiplicity result for the Schrödinger-Maxwell equations with negative potential
No full textWe prove the existence of a sequence of radial solutions with negative
energy of the Schr ̈odinger–Maxwell equations under the action of a negative potential
A multiplicity result for the Schrödinger-Maxwell equations with negative potential
No full textWe prove the existence of a sequence of radial solutions with negative
energy of the Schr ̈odinger–Maxwell equations under the action of a negative potential
Vanishing viscosity for mixed systems with moving boundaries
No full textWe consider a system of scalar balance laws in one space dimension coupled with
a system of ordinary differential equations. The coupling acts through the (moving) boundary
condition of the balance laws and the vector fields of the ordinary differential equations. We
prove the existence of solutions for such systems passing to the limit in a vanishing viscosity
approximation
On a model for the evolution of morphogens in growing tissue III: θ
No full textA model for the regulation of growth and patterning in developing tissues by diffusing morphogens is analyzed. The well-posedness of the underlying systems of nonlinear PDEs is proved. The transformation of the underlying system to an equation with very fast diffusion is the key tool in the analysis
A Time Dependent Optimal Harvesting Problem with Measure Valued Solutions.
Full text linkThe paper is concerned with the optimal harvesting of a marine park, which is described by a parabolic heat equation with Neumann boundary conditions and a nonlinear source term. We consider a cost functional, which is linear with respect to the control; hence the optimal solution can belong to
the class of measure-valued control strategies. For each control function, we prove existence, uniqueness and stability estimates for solutions of the parabolic equation. Moreover, we prove the existence of an optimal solution. Finally, some numerical simulations conclude the paper
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