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Communications on Pure & Applied Analysis

January 2015 , Volume 14 , Issue 1

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Bernd Kawohl and Juan J. Manfredi
2015, 14(1): i-i doi: 10.3934/cpaa.2015.14.1i +[Abstract](627) +[PDF](91.2KB)
On the Dirichlet boundary value problem for the normalized $p$-laplacian evolution
Agnid Banerjee and Nicola Garofalo
2015, 14(1): 1-21 doi: 10.3934/cpaa.2015.14.1 +[Abstract](1042) +[PDF](486.2KB)
Very weak solutions of singular porous medium equations with measure data
Verena Bögelein, Frank Duzaar and Ugo Gianazza
2015, 14(1): 23-49 doi: 10.3934/cpaa.2015.14.23 +[Abstract](1045) +[PDF](523.0KB)
On the validity of the Euler-Lagrange system
Menita Carozza, Jan Kristensen and Antonia Passarelli di Napoli
2015, 14(1): 51-62 doi: 10.3934/cpaa.2015.14.51 +[Abstract](972) +[PDF](390.6KB)
On a conjectured reverse Faber-Krahn inequality for a Steklov--type Laplacian eigenvalue
Vincenzo Ferone, Carlo Nitsch and Cristina Trombetti
2015, 14(1): 63-82 doi: 10.3934/cpaa.2015.14.63 +[Abstract](838) +[PDF](472.4KB)
Mean value properties of fractional second order operators
Fausto Ferrari
2015, 14(1): 83-106 doi: 10.3934/cpaa.2015.14.83 +[Abstract](868) +[PDF](464.9KB)
Sharp rate of convergence to Barenblatt profiles for a critical fast diffusion equation
Marek Fila and Michael Winkler
2015, 14(1): 107-119 doi: 10.3934/cpaa.2015.14.107 +[Abstract](812) +[PDF](376.4KB)
A counterexample to finite time stopping property for one-harmonic map flow
Yoshikazu Giga and Hirotoshi Kuroda
2015, 14(1): 121-125 doi: 10.3934/cpaa.2015.14.121 +[Abstract](976) +[PDF](296.7KB)
Phragmén--Lindelöf theorem for infinity harmonic functions
Seppo Granlund and Niko Marola
2015, 14(1): 127-132 doi: 10.3934/cpaa.2015.14.127 +[Abstract](894) +[PDF](337.8KB)
Remarks on the comparison principle for quasilinear PDE with no zeroth order terms
Shigeaki Koike and Takahiro Kosugi
2015, 14(1): 133-142 doi: 10.3934/cpaa.2015.14.133 +[Abstract](1144) +[PDF](360.9KB)
Convergence of equilibria for incompressible elastic plates in the von Kármán regime
Marta Lewicka and Hui Li
2015, 14(1): 143-166 doi: 10.3934/cpaa.2015.14.143 +[Abstract](647) +[PDF](487.9KB)
General existence of solutions to dynamic programming equations
Qing Liu and Armin Schikorra
2015, 14(1): 167-184 doi: 10.3934/cpaa.2015.14.167 +[Abstract](883) +[PDF](405.8KB)
Mean value properties and unique continuation
José G. Llorente
2015, 14(1): 185-199 doi: 10.3934/cpaa.2015.14.185 +[Abstract](928) +[PDF](427.4KB)
Stability of degenerate parabolic Cauchy problems
Teemu Lukkari and Mikko Parviainen
2015, 14(1): 201-216 doi: 10.3934/cpaa.2015.14.201 +[Abstract](967) +[PDF](414.6KB)
An obstacle problem for Tug-of-War games
Juan J. Manfredi, Julio D. Rossi and Stephanie J. Somersille
2015, 14(1): 217-228 doi: 10.3934/cpaa.2015.14.217 +[Abstract](852) +[PDF](361.5KB)
Optimal matching problems with costs given by Finsler distances
J. M. Mazón, Julio D. Rossi and J. Toledo
2015, 14(1): 229-244 doi: 10.3934/cpaa.2015.14.229 +[Abstract](760) +[PDF](465.1KB)
Optimal reaction exponent for some qualitative properties of solutions to the $p$-heat equation
Susana Merchán, Luigi Montoro and I. Peral
2015, 14(1): 245-268 doi: 10.3934/cpaa.2015.14.245 +[Abstract](865) +[PDF](514.0KB)
Statistical exponential formulas for homogeneous diffusion
Matthew B. Rudd
2015, 14(1): 269-284 doi: 10.3934/cpaa.2015.14.269 +[Abstract](752) +[PDF](455.7KB)
Global gradient estimates in elliptic problems under minimal data and domain regularity
Andrea Cianchi and Vladimir Maz'ya
2015, 14(1): 285-311 doi: 10.3934/cpaa.2015.14.285 +[Abstract](1062) +[PDF](550.5KB)
Nonuniqueness in vector-valued calculus of variations in $L^\infty$ and some Linear elliptic systems
Nikos Katzourakis
2015, 14(1): 313-327 doi: 10.3934/cpaa.2015.14.313 +[Abstract](968) +[PDF](494.8KB)
First eigenfunctions of the 1-Laplacian are viscosity solutions
Bernd Kawohl and Friedemann Schuricht
2015, 14(1): 329-339 doi: 10.3934/cpaa.2015.14.329 +[Abstract](933) +[PDF](378.9KB)
Some properties of minimizers of a variational problem involving the total variation functional
Florian Krügel
2015, 14(1): 341-360 doi: 10.3934/cpaa.2015.14.341 +[Abstract](966) +[PDF](590.1KB)

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