Ugo Gianazza

Harnack's inequality for degenerate and singular parabolic equations

Preface.- 1. Introduction.- 2. Preliminaries.- 3. Degenerate and Singular Parabolic Equations.- 4. Expansion of Positivity.- 5. The Harnack Inequality for Degenerate Equations.- 6. The Harnack Inequality for Singular Equations.- 7. Homogeneous Monotone Singular Equations.- Appendix A.- Appendix B.- Appendix C.- References.- Index.

Porous Medium Type Equations with Measure Data and Potential Estimates

We consider nonhomogeneous, degenerate (

Theoretical and Experimental Analysis of an MPP Detection Algorithm Employing a Single-Voltage Sensor Only and a Noisy Signal

m>1

Boundary regularity for degenerate and singular parabolic equations

) porous medium type equations with a nonnegative Radon measure

A new proof of the Hölder continuity of solutions to p-Laplace type parabolic equations

\mu

Subpotential lower bounds for nonnegative solutions to certain quasi-linear degenerate parabolic equations

having finite total mass

Intrinsic Harnack estimates for nonnegative local solutions of degenerate parabolic equations

\mu(E_T)

Remarks on Local Boundedness and Local Holder Continuity of Local Weak Solutions to Anisotropic p-Laplacian Type Equations

on the right-hand side, and we derive linear pointwise estimates for solutions via Riesz potentials. Then, we deal with a Cauchy--Dirichlet problem for the same equation, with homogeneous boundary conditions on the parabolic boundary of the domain

A Wiener-type condition for boundary continuity of quasi-minima of variational integrals

E_T

Some properties of De Giorgi classes

, and we establish the existence of a solution in the sense of distributions.