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# ADVANCES IN DIFFERENTIAL EQUATIONS

## Classical solutions to parabolic systems with free boundary of Stefan type

• Volume 10, 2005, pages 1345 -1388

## Optimal boundary control and Riccati theory for abstract dynamics motivated by hybrid systems of PDEs

• Volume 10, 2005, pages 1389-1436

## Equilibrium solutions of the Bénard equations with an exterior force

• Volume 10, 2005, pages 1321 -1344

## On a Yamabe-type problem on a three-dimensional thin annulus

• Volume 10, 2005, pages 813 -840

## Nonlinear Liouville theorems and a priori estimates for indefinite superlinear elliptic equations

• Volume 10, 2005, pages 841 -860

## On the Stefan problem with surface tension in the $L^p$ framework

• Volume 10, 2005, pages 861 -900

## Exact controllability of finite energy states for an acoustic wave/plate interaction under the influence of boundary and localized controls

• Volume 10, 2005, pages 901 -930

## Orthogonal geodesic chords, brake orbits and homoclinic orbits in Riemannian manifolds

• Volume 10, 2005, pages 931 -960

## Existence of solutions for strongly nonlinear elliptic differential inclusions with unilateral constraints

• Volume 10, 2005, pages 961 -982

## On the system of conservation laws and its perturbation in the Besov spaces

• Volume 10, 2005, pages 983 -1006

## Existence and regularity results for solutions to nonlinear parabolic equations

• Volume 10, 2005, pages 1007 -1034

## Systems of singular Poisson equations in unbounded domains

• Volume 10, 2005, pages 1035 -1052

## Higher integrability for parabolic equations of $p(x,t)$-Laplacian type

• Volume 10, 2005, pages 1053 -1080

## Quasilinear parabolic problems via maximal regularity

• Volume 10, 2005, pages 1081 -1110

## Multiplicity of solutions to a scalar-field equation involving the Sobolev critical exponent with the Robin condition

• Volume 10, 2005, pages 1111 -1129

## $L^p$-regularity for elliptic operators with unbounded coefficients

• Volume 10, 2005, pages 1131 -1164

## The Cauchy problem for quasilinear hyperbolic equations with non-absolutely continuous coefficients in the time variable

• Volume 10, 2005, pages 1165 -1181

## Generic uniqueness of minimizers for a class of infinite horizon variational problems arising in continuum mechanics

• Volume 10, 2005, pages 1183 -1200

## Reduced measures for obstacle problems

• Volume 10, 2005, pages 1201 -1234

## Homogenization of nonlinear random parabolic operators

• Volume 10, 2005, pages 1235 -1260

## Weak solutions to the Cauchy problem of a semilinear wave equation with damping and source terms

• Volume 10, 2005, pages 1261 -1300

## Analyticity of semigroups generated by operators with generalized Wentzell boundary conditions

• Volume 10, 2005, pages 1301 -1320

## Remarks on global existence for a family of inequalities and applications to Mullins and Navier-Stokes equations

• Volume 10, 2005, pages 1 -18

## Incompressible limit of the nonisentropic Euler equations with the solid wall boundary conditions

• Volume 10, 2005, pages 19 -44

## The initial-value problem for the Navier-Stokes equations with a free surface in $L^q$-Sobolev spaces

• Volume 10, 2005, pages 45 -64

## Smoothing of quasilinear parabolic operators and applications to forward-backward stochastic systems

• Volume 10, 2005, pages 65 -88

## Universal bounds at the blow-up time for nonlinear parabolic equations

• Volume 10, 2005, pages 89-120

## On a new model for continuous coalescence and breakage processes with diffusion

• Volume 10, 2005, pages 121-152

## Null controllability of degenerate heat equations

• Volume 10, 2005, pages 153-190

## About the loss of derivatives for strictly hyperbolic equations with non-Lipschitz coefficients

• Volume 10, 2005, pages 191 -222

## A weak maximum principle for the linearized operator of $m$-Laplace equations with applications to a nondegeneracy result

• Volume 10, 2005, pages 223 -240

## Radially symmetric minimizers of variational problems in the plane

• Volume 10, 2005, pages 241 -258

## Stability of standing waves for nonlinear Schrödinger equations with critical power nonlinearity and potentials

• Volume 10, 2005, pages 259 -276

## Korteweg-de Vries and Benjamin-Ono equations on Zhidkov spaces

• Volume 10, 2005, pages 277 -308

## Existence of solutions to degenerate parabolic equations via the Monge-Kantorovich theory

• Volume 10, 2005, pages 309 -360

## Chaotic behavior of solutions of the Navier-Stokes system in $\mathbb R^N$

• Volume 10, 2005, pages 361 -398

## Quasilinear parabolic equations with localized reaction

• Volume 10, 2005, pages 399 -444

## Hypergeometric functions and the Tricomi operator

• Volume 10, 2005, pages 445 -461

## Multiple solutions for the Brezis-Nirenberg problem

• Volume 10, 2005, pages 463 -480

## Local exact controllability for the magnetohydrodynamic equations revisited

• Volume 10, 2005, pages 481 -504

## Nonhomogeneous div-curl lemmas and local Hardy spaces

• Volume 10, 2005, pages 505 -526

## An order approach to a class of quasivariational sweeping processes

• Volume 10, 2005, pages 527 -552

## Detecting multiplicity for systems of second-order equations: an alternative approach

• Volume 10, 2005, pages 553 -578

## On the $\delta$-primitive and Boussinesq type equations

• Volume 10, 2005, pages 579 -599

## Stability of facets of self-similar motion of a crystal

• Volume 10, 2005, pages 601-634

## On evolution completeness of nonlinear eigenfunctions for the porous medium equation in the whole space

• Volume 10, 2005, pages 635 -674

## Symmetry breaking for the Dirichlet problem for harmonic maps from the disc into the 2-sphere

• Volume 10, 2005, pages 675 -694

## On the Stokes and Navier-Stokes equations in a perturbed half-space

• Volume 10, 2005, pages 695 -720

## Global bifurcation branches for radially symmetric Schrödinger equations

• Volume 10, 2005, pages 721 -746

## Singular solutions to a quasilinear ODE

• Volume 10, 2005, pages 747 -765

## Gradient estimates for anisotropic elliptic equations

• Volume 10, 2005, pages 767 -812