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Parabolic equations with dynamical boundary conditions and source terms on interfaces
parabolic equation quasilinear parabolic problem mixed boundary condition dynamical boundary condition maximal parabolic Lp-regularity
2012/6/19
We consider parabolic equations with mixed boundary conditions and domain inhomogeneities supported on a lower dimensional hypersurface, enforcing a jump in the conormal derivative. Only minimal regul...
Continuity of attractors for a nonlinear parabolic problem with terms concentrating in the boundary
Partial differential equations on infinite-dimensional spaces asymptotic behavior of solutions attractors singular perturbations concentrating terms
2012/4/17
We analyze the dynamics of the flow generated by a nonlinear parabolic problem when some reaction and potential terms are concentrated in a neighborhood of the boundary. We assume that this neighborho...
A nonlinear elliptic problem with terms concentrating in the boundary
Semilinear elliptic equations nonlinear boundary conditions singular elliptic equations upper semicontinuity concentrating terms
2012/4/17
In this paper we investigate the behavior of a family of steady state solutions of a nonlinear reaction diffusion equation when some reaction and potential terms are concentrated in a $\epsilon$-neigh...
On a 3D isothermal model for nematic liquid crystals accounting for stretching terms
3D isothermal model nematic liquid crystals Analysis of PDEs
2011/9/15
Abstract: The present contribution investigates the well-posedness of a PDE system describing the evolution of a nematic liquid crystal flow under kinematic transports for molecules of different shape...
Local and global behaviour of nonlinear equations with natural growth terms
Quasilinear equations natural growth terms Wolff potentials discrete Carleson measures
2011/9/5
Abstract: This paper concerns a study of the pointwise behaviour of positive solutions to certain quasi-linear elliptic equations with natural growth terms, under minimal regularity assumptions on the...