Differential and Integral Equations
Volume 14

On the well-posedness of a linear heat equation with a critical singular potential

  • Daisuke Hirata and Masayoshi Tsutsumi

    Volume 14, 2001, pages 1-18

Studies on the linear equations of melt-spinning of viscous fluids

Unbounded principal eigenfunctions for problems on all ${\bf R}^N$

On the Bernoulli free-boundary problem

Global existence and gradient estimates for a quasilinear parabolic equation of the mean curvature type with a strong perturbation

  • Caisheng Chen, Mitsuhiro Nakao, and Yasuhiro Ohara

    Volume 14, 2001, pages 59-74

A compactness result for $p$-harmonic maps

Existence and uniform decay rates for viscoelastic problems with nonlinear boundary damping

  • M.M. Cavalcanti, V.N. Domingos Cavalcanti, J.S. Prates Filho, and J.A. Soriano

    Volume 14, 2001, pages 85-116

The relaxation limit for systems of Broadwell type

  • Christian Klingenberg and Yun-guang Lu

    Volume 14, 2001, pages 117-127

Remarks on the blow-up of solutions for the 3-D Euler equations

Singular ground states for the scalar curvature equation in ${\mathbb R}^n$

  • Flaviano Battelli and Russell Johnson

    Volume 14, 2001, pages 141-158

On the Cauchy problem in Gevrey classes for dispersive equations

Asymptotic behaviour of solutions of $u_t=\Delta \log u$ in a bounded domain

Flow alignment in nematic liquid crystals in flows with cylindrical symmetry

Regular solutions for Landau-Lifschitz equation in a bounded domain

An existence result for a class of superlinear $p$-Laplacian semipositone systems

  • D.D. Hai, C. Maya, and R. Shivaji

    Volume 14, 2001, pages 231-240

On the nonautonomous higher-order Cauchy problems

On the resonance set in a fourth-order equation with jumping nonlinearity

  • Juan Campos and Edward Norman Dancer

    Volume 14, 2001, pages 257-272

Structural change of solutions for a scalar curvature equation

  • Hiroshi Morishita, Eiji Yanagida, and Shoji Yotsutani

    Volume 14, 2001, pages 273-288

Some extremal singular solutions of a nonlinear elliptic equation

Global existence and uniqueness of solutions of the Ricci flow equation

Minimizing total variation flow

  • F. Andreu, C. Ballester, V. Caselles, and J. M. Mazón

    Volume 14, 2001, pages 321-360

Analyticity and decay properties of the solitary waves to the Benney-Luke equation

A mixed semilinear parabolic problem in a noncylindrical space-time domain

  • C. Lederman, J.L. Vazquez, and Noemi Wolanski

    Volume 14, 2001, pages 385-404

Existence theorem of periodical solutions of Hamiltonian systems in infinite-dimensional Hilbert spaces

A quasistationary limit and convergence to equilibrium in the drift diffusion system for semiconductors coupled with Maxwell’s equations

A boundary estimate for nonlinear equations with discontinuous coefficients

KdV invariants and Herglotz functions

Critical growth quasilinear elliptic problems with shifting subcritical perturbation

Unboundedness of solutions and instability of differential equations of the second order with delayed argument

Local exact controllability of a reaction-diffusion system

The shape of blow-up for a degenerate parabolic equation

  • Julián Aguirre and Jacques Giacomoni

    Volume 14, 2001, pages 589-604

Stationary patterns in one-predator, two-prey models

Degenerate Volterra equations in Banach spaces

Periodic solutions of a nonlinear evolution problem from heterogeneous catalysis

Integrable systems in the infinite genus limit

On the regularity of solutions to a nonlinear ultraparabolic equation arising in mathematical finance

  • Giovanna Citti, Andrea Pascucci, and Sergio Polidoro

    Volume 14, 2001, pages 701-738

Approaching metasolutions by solutions

The uniqueness of the stable positive solution for a class of superlinear indefinite reaction diffusion equations

  • Rosa Gómez-Reñasco and Julián López-Gómez

    Volume 14, 2001, pages 751-768

The nonexistence of singular solutions to nonlinear elliptic systems

A multiplicity result for perturbed symmetric quasilinear elliptic systems

  • Simone Paleari and Marco Squassina

    Volume 14, 2001, pages 785-800

Mixed boundary value problems for nonlinear elliptic equations with $p$-structure in nonsmooth domains

The Cauchy problem for an integrable shallow-water equation

  • A. Alexandrou Himonas and Gerard Misiołek

    Volume 14, 2001, pages 821-831

An $L_2$-approach to second-order nonlinear functional evolutions involving $M$-accretive operators in Banach spaces

  • Athanassios G. Kartsatos and Lubomir P. Markov

    Volume 14, 2001, pages 833-866

On the Fucik spectrum for the $p$-Laplacian

  • Anna Maria Micheletti and Angela Pistoia

    Volume 14, 2001, pages 867-882

On solvability of degenerate nonstationary differential-difference equations in Banach spaces

  • Angelo Favini and Larisa Vlasenko

    Volume 14, 2001, pages 883-896

Symmetry and nonexistence results for Emden-Fowler equations in cones

Groups of scalings and invariant sets for higher-order nonlinear evolution equations

Existence of non-topological solutions for a nonlinear elliptic equation arising from Chern-Simons-Higgs theory in a general background metric

H. Weyl’s boundary value problems for differential forms

A few remarks on the Camassa-Holm equation

Gevrey class regularity for parabolic equations

  • Yung-Jen Lin Guo and Pei-Ling Lee

    Volume 14, 2001, pages 989-1004

The Willmore flow near spheres

On two-dimensional Hamiltonian transport equations with continuous coefficients

On the solutions of Halphen’s equation

Unilateral problems with measure data: links and convergence

An existence theorem in the large for zero-pressure gas dynamics

On the number of nodal solutions in singular perturbation problems

Variational structure of the zones of instability

Half-eigenvalues of self-adjoint, $2m$th-order differential operators and semilinear problems with jumping nonlinearities

Uniform stabilization of beams by means of a pointwise feedback

Nonlinear elliptic equations with lower-order terms

  • A. Alvino, V. Ferone, and G. Trombetti

    Volume 14, 2001, pages 1169-1180

Existence and attraction of a phase-locked oscillation in a delayed network of two neurons

A quasilinear parabolic inverse problem in Hölder spaces

On the existence of self-similar solutions of the nonlinear Schrödinger equation with power nonlinearity between 1 and 2

Relaxed exact controllability and asymptotic limit for thin shells

Some special solutions to the thin-film equation

  • Elena Beretta and Michiel Bertsch

    Volume 14, 2001, pages 1281-1300

Global existence of solutions to a wave equation with damping and source terms

Global solutions to boundary value problems for a nonlinear wave equation in high space dimensions

  • Keith Agre and Mohammad A. Rammaha

    Volume 14, 2001, pages 1315-1331

Blow-up phenomenon and global solution to a coupled parabolic-elliptic system of chemotaxis

  • A. Boy-Dalverny and M. Madaune-Tort

    Volume 14, 2001, pages 1333-1350

Comparison results for solutions of elliptic problems via Steiner symmetrization

Asymptotics of radial oscillatory solutions of semilinear elliptic equations

Anisotropic estimates and strong solutions of the primitive equations

  • F. Guillén-González, N. Masmoudi, and M.A. Rodríguez-Bellido

    Volume 14, 2001, pages 1381-1408

Existence of solutions for the ‘t Hooft-Polyakov-Julia-Zee monopole

On solutions of nondegenerate wave equations with nonlinear damping terms

  • Jeong Ja Bae and Jong Yeoul Park

    Volume 14, 2001, pages 1421-1440

Solutions near singular points to the eikonal and related first-order nonlinear partial differential equations in two independent variables

  • Emil Cornea, Ralph Howard, and Per-Gunnar Martinsson

    Volume 14, 2001, pages 1441-1468

Models of phase relaxation

Parabolic problems with nonlinear dynamical boundary conditions and singular initial data

  • José M. Arrieta, Pavol Quittner, and Aníbal Rodríguez-Bernal

    Volume 14, 2001, pages 1487-1510

On the Fucik spectrum with indefinite weights

Existence of positive solutions for singular Dirichlet problems

  • Norimichi Hirano and Naoki Shioji

    Volume 14, 2001, pages 1531-1540