Recent Advances in Analysis of Partial Differential Equations (Parts I-III)

Emmanuele DiBenedetto
Vanderbilt University, USA
Ugo Gianazza
University of Pavia, Italy

Part I:
On the Inverse Stefan Problem Abstract
Ugur Abdulla and Ogugua Onyejekwe, Florida Institute of Technology, USA
Existence Results for the Non-homogeneous Infinity Laplacian Abstract
Tilak Bhattachariya, University of Western Kentucky, USA
Strong Solutions to an Obstacle Problem with Coefficients in VMO Abstract
Ivan Blank and Kubrom Teka, Kansas State University, USA
Logarithmically Singular Parabolic Equations as Limits of the Porous Medium Equation Abstract
Ugo Gianazza, University of Pavia, Italy; Emmanuele DiBenedetto, Naian Liao, Vanderbilt University, USA
Hölder Continuity of a Bounded Weak Solution of Generalized Parabolic p-Laplacian Equations Abstract
Sukjung Hwang,Iowa State University, USA

Part II:

Self similar solutions in certain very degenerate parabolic equations Abstract
Marianne Korten, Kansas State University, USA
Equilibria and Stability of the Axisymmetric Surface Diffusion Flow Abstract
Jeremy LeCrone, Vanderbilt University, USA
A Harnack-type Inequality for a logarithmically singular parabolic equation Abstract
Naian Liao, Emmanuele DiBenedetto, Vanderbilt University, USA; Ugo Gianazza, University of Pavia, Italy
Generalizations of p-Laplace equations Abstract
Gary Lieberman, Iowa State University, USA
Compressible Navier-Stokes Equations with Temperature Dependent Heat Conductivity Abstract
Ronhua Pan, and W. Zhang, Georgia Institute of Technology, USA

Part III:

Stationary Navier-Stokes Equations With Critically Singular External Forces: Existence and Stability Results Abstract
Phuc Nguyen and Tuc Van Phan, Louisiana State University, USA
On Well-posedness of Incompressible Two-phase Flows with Phase Transitions Abstract
Gieri Simonett, Vanderbilt University, USA
Local Hölder Continuity for Doubly Nonlinear Parabolic Equations Abstract
José Miguel Urbano, Tuomo Kuusi and Juhana Siljander, Universidade de Coimbra, Portugal
On Positive Solutions of Quasi-linear Elliptic Equations Involving Critical Sobolev Growth Abstract
Henghui Zou, University of Alabama in Birmingham, USA

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