Free boundary problems involving singular weights

Numerical solution of a class of singular free boundary problems involving the m-Laplace operator

s of IWANASP, September 10 – 12, 2008, Ericeira, Portugal NUMERICAL SOLUTION OF A CLASS OF SINGULAR FREE BOUNDARY PROBLEMS INVOLVING THE m-LAPLACE OPERATOR LUÍSA MORGADO 1 CEMAT ,Instituto Superior Técnico, Universidade de Trás-os-Montes e Alto Douro 1 Av. Rovisco Pais, 1049-001 Lisboa, 2 Quinta de Prados, 5001-811 Vila Real, Portugal E-mail: [email protected] PEDRO LIMA CEMAT, Instituto Superior ...

Some free boundary problems involving non-local diffusion and aggregation

We report on recent progress in the study of evolution processes involving degenerate parabolic equations which may exhibit free boundaries. The equations we have selected follow two recent trends in diffusion theory: considering anomalous diffusion with long-range effects, which leads to fractional operators or other operators involving kernels with large tails; and the combination of diffusio...

Boundary Value Problems with Singular Boundary Conditions

Singular boundary conditions are formulated for non-selfadjoint Sturm-Liouville operators with singularities and turning points. For boundary value problems with singular boundary conditions properties of the spectrum are studied and the completeness of the system of root functions is proved.

Positive solutions for singular nonlocal boundary value problems involving integral conditions with derivative dependence

In this paper using a fixed point theory on a cone we present some new results on the existence of multiple positive solutions for singular nonlocal boundary value problems involving integral conditions with derivative dependence.

On Free Boundary Problems