ADE Volume 2 (new) | Khayyam Publishing

Advances in Differential Equations
Volume 2

Decay properties of solutions to degenerate wave equations with dissipative terms

Morse theory for trajectories of Lagrangian systems on Riemannian manifolds with convex boundary

Classical solutions for Hele-Shaw models with surface tension

Stiff well-posedness for hyperbolic systems with large relaxation terms (linear constant-coefficient problems)

The Stefan problem with convection and Joule’s heating

Almost-periodic oscillations of monotone second-order systems

Rotating fluid at high Rossby number driven by a surface stress: existence and convergence

Infinitely many solutions of weakly coupled superlinear systems

The perturbed Riemann problem for a balance law

Location of spectrum and stability of solutions for monotone parabolic system

The Dirichlet problem for a class of ultraparabolic equations

The maximal solution of the logarithmic fast diffusion equation in two space dimensions

A bifurcation problem of some nonlinear degenerate elliptic equations

Global existence and finite-time blow-up for a class of nonlocal parabolic problems

On a singularly perturbed elliptic equation

Principal eigenvalues for some quasilinear elliptic equations on $\mathbb{R}^N$

$W^1,p$-interior estimates for solutions of fully nonlinear, uniformly elliptic equations

About the $C^\infty$-well-posedness of fully nonlinear weakly hyperbolic equations of second order with spatial degeneracy

Singular limits of scalar Ginzburg-Landau equations with multiple-well potentials

Large deviations estimates for the exit probabilities of a diffusion process through some vanishing parts of the boundary.

Self-similar blow-up for a quasilinear parabolic equation with gradient diffusion and exponential source

Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations

Critical Sobolev exponent problem in a ball with nonlinear perturbation changing sign

Focusing solutions for the $p$-Laplacian evolution equation

Infinitely many solutions for a Dirichlet problem with a nonhomogeneous $p$-Laplacian-like operator in a ball

Existence theorems for elliptic equations involving supercritical Sobolev exponent

On the regularity of the global attractor of a weakly damped, forced Korteweg-de Vries equation

The isospectrality problem for the classical Sturm-Liouville equation

Nonexistence of positive solutions of quasilinear equations

Existence of multiple positive solutions for a semilinear elliptic equation

Classification of positive singular solutions for a class of semilinear elliptic systems

On a quasilinear system involving $K$-Hessian operators

Existence of solution for a density-dependent magnetohydrodynamic equation

Global smooth solution to the standard phase-field model with memory

Well-posedness of the weak formulation for the phase-field model with memory

Existence and uniqueness theorems for semilinear elliptic boundary value problems

Regularity criterion of weak solutions to the Navier-Stokes equations

Lower-order perturbations of critical growth nonlinearities in semilinear elliptic equations

ADVANCES IN DIFFERENTIAL EQUATIONS

Advances in Differential Equations Volume 2

Decay properties of solutions to degenerate wave equations with dissipative terms

Morse theory for trajectories of Lagrangian systems on Riemannian manifolds with convex boundary

Classical solutions for Hele-Shaw models with surface tension

Stiff well-posedness for hyperbolic systems with large relaxation terms (linear constant-coefficient problems)

The Stefan problem with convection and Joule’s heating

Almost-periodic oscillations of monotone second-order systems

Rotating fluid at high Rossby number driven by a surface stress: existence and convergence

Infinitely many solutions of weakly coupled superlinear systems

The perturbed Riemann problem for a balance law

Location of spectrum and stability of solutions for monotone parabolic system

The Dirichlet problem for a class of ultraparabolic equations

The maximal solution of the logarithmic fast diffusion equation in two space dimensions

A bifurcation problem of some nonlinear degenerate elliptic equations

Global existence and finite-time blow-up for a class of nonlocal parabolic problems

On a singularly perturbed elliptic equation

Principal eigenvalues for some quasilinear elliptic equations on $\mathbb{R}^N$

$W^1,p$-interior estimates for solutions of fully nonlinear, uniformly elliptic equations

About the $C^\infty$-well-posedness of fully nonlinear weakly hyperbolic equations of second order with spatial degeneracy

Singular limits of scalar Ginzburg-Landau equations with multiple-well potentials

Large deviations estimates for the exit probabilities of a diffusion process through some vanishing parts of the boundary.

Self-similar blow-up for a quasilinear parabolic equation with gradient diffusion and exponential source

Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations

Critical Sobolev exponent problem in a ball with nonlinear perturbation changing sign

Focusing solutions for the $p$-Laplacian evolution equation

Infinitely many solutions for a Dirichlet problem with a nonhomogeneous $p$-Laplacian-like operator in a ball

Existence theorems for elliptic equations involving supercritical Sobolev exponent

On the regularity of the global attractor of a weakly damped, forced Korteweg-de Vries equation

The isospectrality problem for the classical Sturm-Liouville equation

Nonexistence of positive solutions of quasilinear equations

Existence of multiple positive solutions for a semilinear elliptic equation

Classification of positive singular solutions for a class of semilinear elliptic systems

On a quasilinear system involving $K$-Hessian operators

Existence of solution for a density-dependent magnetohydrodynamic equation

Global smooth solution to the standard phase-field model with memory

Well-posedness of the weak formulation for the phase-field model with memory

Existence and uniqueness theorems for semilinear elliptic boundary value problems

Regularity criterion of weak solutions to the Navier-Stokes equations

Lower-order perturbations of critical growth nonlinearities in semilinear elliptic equations

ADVANCES IN
DIFFERENTIAL EQUATIONS

Advances in Differential Equations
Volume 2