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# ADVANCES IN DIFFERENTIAL EQUATIONS

## Topological degree theories for densely defined mappings involving operators of type $(S_+)$

• Volume 4, 1999, pages 413-456

## On the Cauchy problem for a Boussinesq-type system

• Volume 4, 1999, pages 457-492

## On the existence of inviscid compressible steady flows through a three-dimensional bounded domain

• Volume 4, 1999, pages 493-528

## Periodic solutions for a bidimensional hybrid system arising in the control of noise

• Volume 4, 1999, pages 529-560

## Well-posedness for the one-dimensional nonlinear Schrödinger equation with the derivative nonlinearity

• Volume 4, 1999, pages 561-580

## The topological impact of critical points at infinity in a variational problem with lack of compactness: the dimension $3$

• Volume 4, 1999, pages 581-616

## Weak solutions of a strongly coupled degenerate parabolic system

• Volume 4, 1999, pages 617-638

## Nonlinear eigenvalue problems having an unbounded branch of symmetric bound states

• Volume 4, 1999, pages 639-670

## On a class of $L^1$-illposed quasilinear parabolic equations

• Volume 4, 1999, pages 671-696

## On the non-stationary Navier-Stokes equations with an external force

• Volume 4, 1999, pages 697-730

## The global existence and finite time extinction of a quasilinear parabolic equation

• Volume 4, 1999, pages 731-753

## Fujita type results for a class of degenerate parabolic operators

• Volume 4, 1999, pages 755-776

## Topological degree for elliptic operators in unbounded cylinders

• Volume 4, 1999, pages 777-812

## Semilinear elliptic equations with sublinear indefinite nonlinearities

• Volume 4, 1999, pages 813-842

## Existence and stability of solutions to partial functional-differential equations with delay

• Volume 4, 1999, pages 843-876

## Existence of solutions for a class of semilinear polyharmonic equations with critical exponential growth

• Volume 4, 1999, pages 877-906

## Approximate radial symmetry for overdetermined boundary value problems

• Volume 4, 1999, pages 907-932

## Multi-spike stationary solutions of the Cahn-Hilliard equation in higher-dimension and instability

• Volume 4, 1999, pages 1-69

## Positive solutions of small norm to a quasilinear elliptic inclusion problem

• Volume 4, 1999, pages 71-114

## Positivity for a noncooperative system of elliptic equations in $\mathbb {R}^N$

• Volume 4, 1999, pages 115-136

## Symmetry in exterior boundary value problems for quasilinear elliptic equations via blow-up and a priori estimates

• Volume 4, 1999, pages 137-161

## Global solutions of a semilinear parabolic equation

• Volume 4, 1999, pages 163-196

## Local structure of solutions of the Dirichlet problem for $N$-dimensional reaction-diffusion equations in bounded domains

• Volume 4, 1999, pages 197-224

## Existence of a solution to a coupled elliptic system with a Signorini condition

• Volume 4, 1999, pages 225-250

## Solution surfaces for semilinear elliptic equations on rotated domains

• Volume 4, 1999, pages 251-274

## Optimality principles and representation formulas for viscosity solutions of Hamilton-Jacobi equations. I. Equations of unbounded and degenerate control problems without uniqueness

• Volume 4, 1999, pages 275-296

## Blow-up of a class of solutions with free boundaries for the Navier-Stokes equations

• Volume 4, 1999, pages 297-321

## Complete noncompact self-similar solutions of Gauss curvature flows. II. Negative powers

• Volume 4, 1999, pages 323-346

## A singularly perturbed elliptic problem in bounded domains with nontrivial topology

• Volume 4, 1999, pages 347-368

## On some general semilinear elliptic problems with nonlinear boundary conditions

• Volume 4, 1999, pages 369-390