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Hamiltonian systems of Schrödinger equations with vanishing potentials

Communications in Contemporary Mathematics, 2020
In this paper, by means of minimax techniques involving Cerami sequences, we prove the existence of at least one pair of positive solutions for a Hamiltonian system of Schrödinger equations in [Formula: see text] with potentials vanishing at infinity and subcritical nonlinearities which are superlinear at the origin and at infinity.
Toon, E., Ubilla, P.
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Existence of Solutions for a Quasilinear Schrödinger Equation with Potential Vanishing

Acta Mathematicae Applicatae Sinica, English Series, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xue, Yan-fang   +2 more
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Ground states for critical fractional Schrödinger‐Poisson systems with vanishing potentials

Mathematical Methods in the Applied Sciences, 2022
This paper deals with a class of fractional Schrödinger‐Poisson system with a critical nonlocal term and multiple competing potentials, which may decay and vanish at infinity, where is the fractional critical exponent. The problem is set on the whole space, and compactness issues have to be tackled.
Xilin Dou, Xiaoming He
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Stationary Kirchhoff equations involving critical growth and vanishing potential

ESAIM: Control, Optimisation and Calculus of Variations, 2020
We establish the existence of positive solutions for a class of stationary Kirchhoff-type equations defined in the whole ℝ3 involving critical growth in the sense of the Sobolev embedding and potentials, which may decay to zero at infinity. We use minimax techniques combined with an appropriate truncated argument and a priori estimate.
João Marcos do Ó   +2 more
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Vanishing potential temperature gradients in strong convection

Quarterly Journal of the Royal Meteorological Society, 1958
AbstractTemperature profiles recorded up to 30 m show an unexpected feature in conditions of free convection with light wind. Above the strong lapse near the ground, there is a transition to zero potential temperature gradient. The height of the transition level falls as the wind strength decreases, becoming less than 8 m when the negative Richardson ...
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Vanishing closure correction in the second-order optical potential

Physical Review C, 1978
The first-order correction to the closure approximation in the multiple-scattering calculation of the second-order optical potential is shown to vanish under rather general conditions.
G. A. Miller, N. Austern, M. Silver
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Kähler manifolds with vanishing chiral potential

Physical Review Letters, 1987
, Chang, , León, , Pérez Mercader J
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Well-Posedness for Nonlinear Wave Equation with Potentials Vanishing at Infinity

Journal of Fourier Analysis and Applications, 2017
In this paper, the author proves a global well-posedness result in some scale-invariant weighted Besov spaces and Strichartz spaces for the nonlinear wave equation of the form \((\partial_t^2 -\Delta+a(t,x)\cdot\nabla)u =\bar\lambda |W u|^\alpha\), with data in \(\dot H^{1/2}\times \dot H^{-1/2}\) for \((t,x)\in \mathbb{R}^{1+n}\). Here, \(n\ge 3\), \(\
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Fractional Hamiltonian Systems with Vanishing Potentials

Progress in Fractional Differentiation and Applications, 2022
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On bound states of Schrödinger equation with vanishing magnetic potential

Calculus of Variations and Partial Differential Equations
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Baihong, Wei, Yuanhong
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