Asymptotically linear Schrödinger equations with sign-changing potential

In this paper, we show that the following system:

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Nonoscillation for second order sublinear dynamic equations on time scales

Consider the Emden-Fowler sublinear dynamic equation

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On asymptotic behaviors of solutions of “almost linear” and essential nonlinear functional differential equations

In the paper the following differential equation

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Radial solutions for the Brezis-Nirenberg problem involving large nonlinearities

Let us consider the problem

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Nodal solutions for an elliptic problem involving large nonlinearities

Let us consider the problem

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On the critical nonlinear damped wave equation with large initial data

We study the nonlinear damped wave equation

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Principal eigenvalues and an anti-maximum principle for homogeneous fully nonlinear elliptic equations

We study the fully nonlinear elliptic equation

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The Fujita exponent for semilinear heat equations with quadratically decaying potential or in an exterior domain

Consider the equation

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Existence results for some fourth-order nonlinear elliptic problems of local superlinearity and sublinearity

In this paper we study the existence of positive solutions for the problem

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Global attractor for the Ginzburg-Landau thermoviscoelastic systems with hinged boundary conditions

This paper is concerned with the following one-dimensional nonlinear system of equations:

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Representation formula for solution of a functional equation with Volterra operator

The following functional equation is under consideration,

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Resonance and rotation numbers for planar Hamiltonian systems: Multiplicity results via the Poincaré-Birkhoff theorem

In the general setting of a planar first order system

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Nonresonance conditions for generalised ?-Laplacian problems with jumping nonlinearities

We consider the boundary value problem

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Quasilinear elliptic equations with subquadratic growth

In this paper we consider nonlinear boundary value problems whose simplest model is the following:

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Nonconvergent bounded solutions of semilinear heat equations on arbitrary domains

We consider the Dirichlet problem for the semilinear heat equation

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Hyperbolic conservation laws with discontinuous fluxes and hydrodynamic limit for particle systems

We study the following class of scalar hyperbolic conservation laws with discontinuous fluxes:

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Global attractor for a class of nonlinear lattices

We consider a class of nonlinear lattices with nonlinear damping

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Invariant manifolds for a singular ordinary differential equation

We study the singular ordinary differential equation

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Local and global well-posedness for the Ostrovsky equation

We consider the initial value problem for

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Quantum and classical fidelity for singular perturbations of the inverted and harmonic oscillator

Let us consider the quantum/versus classical dynamics for Hamiltonians of the form

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