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Discrete and Continuous Dynamical Systems - Series S (DCDS-S)
 

Volume 10,Number 4,     August 2017

Issue on PDE 2015: Theory and applications of partial differential equations

1

Preface    Pages : i - iv

Hans-Christoph Kaiser,  Dorothee Knees,  Alexander Mielke,  Joachim Rehberg,  Elisabetta Rocca,  Marita Thomas and Enrico Valdinoci

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2

Intrinsic geometry and De Giorgi classes for certain anisotropic problems    Pages : 647 - 659

Paolo Baroni,  Agnese Di Castro and Giampiero Palatucci

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3

The Dirichlet-to-Neumann map for Schrödinger operators with complex potentials    Pages : 661 - 671

Jussi Behrndt and A. F. M. ter Elst

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4

Modeling and analysis of reactive multi-component two-phase flows with mass transfer and phase transition -- The isothermal incompressible case    Pages : 673 - 696

Dieter Bothe and Jan Prüss

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5

Thermistor systems of $p(x)$-Laplace-type with discontinuous exponents via entropy solutions    Pages : 697 - 713

Miroslav Bulíček,  Annegret Glitzky and Matthias Liero

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6

Volume constrained minimizers of the fractional perimeter with a potential energy    Pages : 715 - 727

Annalisa Cesaroni and Matteo Novaga

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7

Characterizations of Sobolev functions that vanish on a part of the boundary    Pages : 729 - 743

Moritz Egert and Patrick Tolksdorf

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8

A survey on second order free boundary value problems modelling MEMS with general permittivity profile    Pages : 745 - 771

Joachim Escher and Christina Lienstromberg

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9

Derivation of effective transmission conditions for domains separated by a membrane for different scaling of membrane diffusivity    Pages : 773 - 797

Markus Gahn,  Maria Neuss-Radu and Peter Knabner

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10

On the geometry of the $p$-Laplacian operator    Pages : 799 - 813

Bernd Kawohl and Jiří Horák

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11

Effective acoustic properties of a meta-material consisting of small Helmholtz resonators    Pages : 815 - 835

Agnes Lamacz and Ben Schweizer

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12

On the existence of weak solutions of an unsteady $p$-Laplace thermistor system with strictly monotone electrical conductivities    Pages : 837 - 852

Joachim Naumann

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13

A Harnack type inequality and a maximum principle for an elliptic-parabolic and forward-backward parabolic De Giorgi class    Pages : 853 - 866

Fabio Paronetto

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14

An energy-conserving time-discretisation scheme for poroelastic media with phase-field fracture emitting waves and heat    Pages : 867 - 893

Tomáš Roubíček

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15

Large solutions of parabolic logistic equation with spatial and temporal degeneracies    Pages : 895 - 907

Andrey Shishkov

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16

On the variational representation of monotone operators    Pages : 909 - 918

Augusto Visintin

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17

The gradient flow of a generalized Fisher information functional with respect to modified Wasserstein distances    Pages : 919 - 933

Jonathan Zinsl

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