Organizers: Molino, Alexis, Martínez Aparicio, Pedro J. (University of Almería) and Segura de León, Sergio (Universidad de València)
Abstract
Partial Differential Equations are often used to construct models of the most basic theories underlying physics and engineering. The main topics that would be addressed in this minisymposium can be summarized as systems with coupled NLS and NLS-KdV equations, fractional and non-local gradients and applications in Solid Mechanics, evolution problems of Leray-Lions type, reaction-diffusion models with nonlinear diffusion terms, fractional Laplacian, 1-Laplacian, etc.
The speakers will use techniques coming from Nonlinear Analysis: variational methods and min-max, Leray-Schauder degree, singular perturbation method, etc. Other tools from PDE's will also be used, like homogenization, blow-up analysis, sub-supersolutions, moving planes, etc.
Keywords: KdV equation; Fractional Laplacian;1-Laplacian
Session 1. Monday 11:30 – 13:35. Room A6.
Chair: Martínez Aparicio, Pedro J., U. de Almería
|
Speaker |
Organization |
Contribution title |
|
Molino, Alexis |
Universidad de Almería |
Approximating local equations by non-local equations |
|
Sabina, José |
U. de La Laguna |
Asymptotic profiles of the logistic equation under diffusion |
|
Ortega, Alejandro |
Universidad Castilla La Mancha |
On a volume constraint problem related to the fractional Laplacian |
|
Cueto, Javier |
Universidad Castilla La Mancha |
New results on fractional and non-local gradients and applications in Solid Mechanics |
|
del Teso, Félix |
Universidad Complutense de Madrid |
The Liouville Theorem for Nonlocal Operators (and its relation to irrational numbers and subgroups of ) |
Session 2. Monday 18:00 – 20:00. Room A6.
Chair: Molino, Alexis (University de Almería)
|
Speaker |
Organization |
Contribution title |
|
Toledo, Julián |
Universidad de Valencia |
Evolution problems of Leray-lions type with nonhomogeneous Neumann boundary conditions in metric random walk spaces |
|
Moll, Salvador |
Universidad de Valencia |
The 1-harmonic flow |
|
Carmona, José |
Universidad de Almería |
Fractional elliptic problems with mixed Dirichlet-Neumann boundary data |
|
Calvo, Juan |
Universidad de Granada |
Initial-boundary value problem for the Lifshitz-Slyozov system with inflow boundary conditions |
|
Cintra, Willian |
Universidade de Brasília, Brazil |
Stationary solutions of some reaction-diffusion models with nonlinear diffusion terms |
Session 3. Tuesday 10:30 – 12:10. Room A6.
Chair: Sabina, José (Universidad de La Laguna)
|
Speaker |
Organization |
Contribution title |
|
Segura de León, Sergio |
Universidad de Valencia |
A singular elliptic equation and the minimization of a related functional |
|
Martínez Aparicio, Pedro J. |
Universidad de Almería |
Singular quasilinear elliptic problems with a changing sign datum |
|
López-Martínez, Salvador |
Universidad de Granada |
A priori estimates via blow-up in elliptic problems with natural growth in the gradient |
|
Throm, Sebastian |
Universidad de Muenster |
Modulation equations for non-local PDE’s |
Chair: Segura de León, Sergio (Universidad de Valencia)
|
Speaker |
Organization |
Contribution title |
|
Latorre, Marta |
King Juan Carlos University |
The regularizing effect of the superlinear gradient term in an elliptic equation |
|
Villegas, Salvador |
Universidad de Granada |
Optimal power in Liouville theorems |
|
|
|
|
|
|
|
|
