Results 11 to 20 of about 678 (186)
Existence and multiplicity results for quasilinear equations in the Heisenberg group [PDF]
In this paper we complete the study started in [Existence of entire solutions for quasilinear equations in the Heisenberg group, Minimax Theory Appl. 4 (2019)] on entire solutions for a quasilinear equation \((\mathcal{E}_{\lambda})\) in \(\mathbb{H}^{n}
Patrizia Pucci
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Multiple solutions for a coercive quasilinear elliptic equation via Morse theory
We study the quasilinear elliptic problem which is resonant at zero. By using Morse theory, we obtain five nontrivial solutions for the equation with coercive nonlinearities.
Lifang Fu, Mingzheng Sun
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Existence of solutions for quasilinear random impulsive neutral differential evolution equation
This paper deals with the existence of solutions for quasilinear random impulsive neutral functional differential evolution equation in Banach spaces and the results are derived by using the analytic semigroup theory, fractional powers of operators and ...
B. Radhakrishnan, M. Tamilarasi
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Dirichlet problem with measurable data for semilinear equations in the plane
The study of the Dirichlet problem with arbitrary measurable data for harmonic functions in the unit disk goes to the known dissertation of Luzin. His result was formulated in terms of angular limits (along nontangent paths) that are a traditional tool
V.Ya. Gutlyanskiĭ +3 more
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Life-Span of Classical Solutions to Hyperbolic Inverse Mean Curvature Flow
In this paper, we investigate the life-span of classical solutions to hyperbolic inverse mean curvature flow. Under the condition that the curve can be expressed in the form of a graph, we derive a hyperbolic Monge–Ampère equation which can be reduced to
Zenggui Wang
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A Solution Theory for Quasilinear Singular SPDEs [PDF]
AbstractWe give a construction allowing us to build local renormalized solutions to general quasilinear stochastic PDEs within the theory of regularity structures, thus greatly generalizing the recent results of [1, 5, 11]. Loosely speaking, our construction covers quasilinear variants of all classes of equations for which the general construction of ...
Gerencsér, M, Hairer, M
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Quasilinear Theory of the 2D Euler Equation [PDF]
We develop a quasilinear theory of the 2D Euler equation and derive an integro-differential equation for the evolution of the coarse-grained vorticity. This equation respects all the invariance properties of the Euler equation and conserves angular momentum in a circular domain and linear impulse in a channel.
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Quasilinear theory for inhomogeneous plasma
This paper presents quasilinear theory (QLT) for a classical plasma interacting with inhomogeneous turbulence. The particle Hamiltonian is kept general; for example, relativistic, electromagnetic and gravitational effects are subsumed. A Fokker–Planck equation for the dressed ‘oscillation-centre’ distribution is derived from the Klimontovich equation ...
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Quasilinear theories have been shown to well describe a range of transport phenomena in magnetospheric, space, astrophysical and laboratory plasma “weak turbulence” scenarios.
Oliver Allanson +21 more
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Quasilinear Theory Approximations
If the instability increases exponentially without any limitation, evidently, this does not reflect the reality and it is therefore necessary to identify a mechanism responsible for the saturation of this instability. The aim of this work is to add such a capability, the first step is to let vary slowly (compared to the wave period) over time.
A S.Alhasi, A S.Elmabrok
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