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Research interests:
Our group is devoted to the analysis of
certain partial differential equations and systems appearing in several
fields of applications such as combustion theory, fluid mechanics or in
general, reaction diffusion processes.
Some of our present interests consist on:
- Free boundary problems of interest in
combustion or in rheological fluids. Also in problems where the free
boundary is contained in a surface and is of lower dimension.
- Nonlinear elliptic problems with non-standard growth conditions.
- Eigenvalue estimates for elliptic systems.
Behavior of these eigenvalues under variations of the domain.
- Shape optmization problems related to
Sobolev type inequalities.
- Reaction-diffusion equations with delay.
In particular when de diffusion is non-local.
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