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• ## Advances in Differential Equation Volume 12, 2007

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

Volume 12, 2007, pages 1415-1436

• ##### Semilinear parabolic equations in $L^1(?)$

Volume 12, 2007, pages 1393 -1414

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

Volume 12, 2007, pages 1363-1392

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

Volume 12, 2007, pages 1321-1362

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

Volume 12, 2007, pages 1275-1320

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

Volume 12, 2007, pages 1241 -1274

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

Volume 12, 2007, pages 1201-1240

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

Volume 12, 2007, pages 1167-1200

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

Volume 12, 2007, pages 1135-1166

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

Volume 12, 2007, pages 1115-1133

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

Volume 12, 2007, pages 1081-1114

• ##### Erratum to the paper: "Elliptic differential-operator problems with a spectral parameter in both the equation and boundary-operator conditions'' [Adv. Differential Equations 11 (2006), no. 10, 1081–1110; MR2279710]

Volume 12, 2007, pages 1079-1079

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

Volume 12, 2007, pages 1031-1078

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

Volume 12, 2007, pages 995-1030

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

Volume 12, 2007, pages 961-993

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

Volume 12, 2007, pages 893-960

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

Volume 12, 2007, pages 867-891

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

Volume 12, 2007, pages 841-866

• ##### Sobolev-Morrey spaces associated with evolution equations

Volume 12, 2007, pages 781-840

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

Volume 12, 2007, pages 759-780

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

Volume 12, 2007, pages 737-758

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

Volume 12, 2007, pages 721-736

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

Volume 12, 2007, pages 669-720

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

Volume 12, 2007, pages 623-668

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

Volume 12, 2007, pages 601-622

• ##### Elliptic problems with a parameter in unbounded domains

Volume 12, 2007, pages 573 -600

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

Volume 12, 2007, pages 541-572

• ##### On a result of Leizarowitz and Mizel

Volume 12, 2007, pages 515-540

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

Volume 12, 2007, pages 481-514

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

Volume 12, 2007, pages 461-480

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

Volume 12, 2007, pages 435-460

• ##### Simplicity of the principal eigenvalue for indefinite quasilinear problems

Volume 12, 2007, pages 407-434

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

Volume 12, 2007, pages 381-406

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

Volume 12, 2007, pages 361-380

• ##### On systems of first order linear partial differential equations with Lp coefficients

Volume 12, 2007, pages 301 -360

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

Volume 12, 2007, pages 265-300

• ##### Instability of vortex solitons for 2D focusing NLS

Volume 12, 2007, pages 241-264

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

Volume 12, 2007, pages 221 -239

• ##### Global existence of smooth solutions for radiative transfer equations

Volume 12, 2007, pages 201 -219

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

Volume 12, 2007, pages 173 -199

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

Volume 12, 2007, pages 145 -172

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

Volume 12, 2007, pages 121 -144

• ##### Critical functions and elliptic PDE on compact Riemannian manifolds

Volume 12, 2007, pages 55-120

• ##### Partially delayed stabilizing feedbacks for Maxwell's system

Volume 12, 2007, pages 27-54

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

Volume 12, 2007, pages 1-26