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# ADVANCES IN DIFFERENTIAL EQUATIONS

## On the solvability of some nonclassical boundary-value problem for the Laplace equation in the plane corner

• Volume 12, 2007, pages 1167-1200

## Some results on controllability for linear and nonlinear heat equations in unbounded domains

• Volume 12, 2007, pages 1201-1240

## Global well-posedness for the non-isothermal Cahn-Hilliard equation with dynamic boundary conditions

• Volume 12, 2007, pages 1241 -1274

## Degree theories and invariance of domain for perturbed maximal monotone operators in Banach spaces

• Volume 12, 2007, pages 1275-1320

## Elliptic equations with decaying cylindrical potentials and power-type nonlinearities

• Volume 12, 2007, pages 1321-1362

## A unified approach for multiple constant sign and nodal solutions

• Volume 12, 2007, pages 1363-1392

## Semilinear parabolic equations in $L^1(\Omega)$

• Volume 12, 2007, pages 1393 -1414

## Positive solutions of semilinear elliptic eigenvalue problems with concave nonlinearities

• Volume 12, 2007, pages 1415-1436

## On a result of Leizarowitz and Mizel

• Volume 12, 2007, pages 515-540

## A coupled system of Korteweg de Vries equations as singular limit of the Kuramoto-Sivashinsky equations

• Volume 12, 2007, pages 541-572

## Elliptic problems with a parameter in unbounded domains

• Volume 12, 2007, pages 573 -600

## Helicoidal trajectories of a charge in a nonconstant magnetic field

• Volume 12, 2007, pages 601-622

## Existence of heteroclinic orbits for a corner layer problem in anisotropic interfaces

• Volume 12, 2007, pages 623-668

## Sturmian nodal set analysis for higher-order parabolic equations and applications

• Volume 12, 2007, pages 669-720

## Global solvability of the Navier-Stokes equations in spaces based on sum-closed frequency sets

• Volume 12, 2007, pages 721-736

## On the number of sign-changing solutions of a semiclassical nonlinear Schrödinger equation

• Volume 12, 2007, pages 737-758

## On the existence and nonexistence of solutions for an elliptic system in unbounded domains

• Volume 12, 2007, pages 759-780

## Sobolev-Morrey spaces associated with evolution equations

• Volume 12, 2007, pages 781-840

## Asymptotic behavior of solutions to nonlocal diffusion systems driven by systems of ordinary differential equations

• Volume 12, 2007, pages 841-866

## Asymptotic behavior of solutions for parabolic operators of Leray-Lions type and measure data

• Volume 12, 2007, pages 867-891

## High regularity of solutions of compressible Navier-Stokes equations

• Volume 12, 2007, pages 893-960

## On the superlinear Lazer-McKenna conjecture: the non-homogeneous case

• Volume 12, 2007, pages 961-993

## Elliptic equations with competing rapidly varying nonlinearities and boundary blow-up

• Volume 12, 2007, pages 995-1030

## Maximal regularity for nonsmooth parabolic problems in Sobolev-Morrey spaces

• Volume 12, 2007, pages 1031-1078

## Erratum to the paper: “Elliptic differential-operator problems with a spectral parameter in both the equation and boundary-operator conditions”

• Volume 12, 2007, pages 1079-1079

## Limit behaviour of a class of nonlinear elliptic problems in infinite cylinders

• Volume 12, 2007, pages 1081-1114

## Scattering and modified scattering for abstract wave equations with time-dependent dissipation

• Volume 12, 2007, pages 1115-1133

## Movement of hot spots on the exterior domain of a ball under the Dirichlet boundary condition

• Volume 12, 2007, pages 1135-1166

## Grow-up rate of solutions of a semilinear parabolic equation with a critical exponent

• Volume 12, 2007, pages 1-26

## Partially delayed stabilizing feedbacks for Maxwell’s system

• Volume 12, 2007, pages 27-54

## Critical functions and elliptic PDE on compact Riemannian manifolds

• Volume 12, 2007, pages 55-120

## Application of the best constant of the Sobolev inequality to degenerate Keller-Segel models

• Volume 12, 2007, pages 121 -144

## A strongly coupled diffusion effect on the stationary solution set of a prey-predator model

• Volume 12, 2007, pages 145 -172

## A positive solution of a nonlinear elliptic equation in $\Bbb R^N$ with $G$-symmetry

• Volume 12, 2007, pages 173 -199

## Global existence of smooth solutions for radiative transfer equations

• Volume 12, 2007, pages 201 -219

## On the dual Petrov-Galerkin formulation of the KdV equation on a finite interval

• Volume 12, 2007, pages 221 -239

## Instability of vortex solitons for 2D focusing NLS

• Volume 12, 2007, pages 241-264

## Singular perturbation of semi-linear reaction-convection equations in a channel and numerical applications

• Volume 12, 2007, pages 265-300

## On systems of first order linear partial differential equations with $L^p$ coefficients

• Volume 12, 2007, pages 301 -360

## Saddle-type solutions for a class of semilinear elliptic equations

• Volume 12, 2007, pages 361-380

## Critical growth biharmonic elliptic problems under Steklov-type boundary conditions

• Volume 12, 2007, pages 381-406

## Simplicity of the principal eigenvalue for indefinite quasilinear problems

• Volume 12, 2007, pages 407-434

## Gradient estimates for solutions of parabolic differential equations degenerating at infinity

• Volume 12, 2007, pages 435-460

## On the global well-posedness of the two-dimensional Boussinesq system with a zero diffusivity

• Volume 12, 2007, pages 461-480

## Optimal rate of convergence to the motion by mean curvature with a driving force

• Volume 12, 2007, pages 481-514