Results 121 to 130 of about 4,999,006 (239)
Multiple solutions for nonhomogeneous Choquard equations
Electronic Journal of Differential Equations, 2018 In this article, we consider the multiple solutions for the nonhomogeneous Choquard equations $$ - \Delta u +u=\Big(\frac{1}{|x|^{\alpha}}\ast |u|^{p}\Big)|u|^{p-2}u+h(x), \quad x\in \mathbb{R}^N, $$ and $$ - \Delta u=\Big(\frac{1}{|x|^{\alpha ...
Lixia Wang
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Multiple solutions of a fourth-order nonhomogeneous equation with critical growth in R^4
Electronic Journal of Differential Equations, 2017 In this article we study the existence of at least two positive weak solutions of an nonhomogeneous fourth-order Navier boundary-value problem involving critical exponential growth on a bounded domain in $R^4$, with a parameter $\lambda >0$.
Abhishek Sarkar
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Critical slowing down in random anisotropy magnets
Condensed Matter Physics, 2005 We study the purely relaxational critical dynamics with non-conserved order parameter (model A critical dynamics) for three-dimensional magnets with disorder in a form of the random anisotropy axis.
G.Moser, R.Folk, Yu.Holovatch, M.Dudka
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Non-homogeneous problem for fractional Laplacian involving critical Sobolev exponent
Electronic Journal of Differential Equations, 2017 In this article, we study the existence of positive solutions for the nonhomogeneous fractional equation involving critical Sobolev exponent $$\displaylines{ (-\Delta)^{s} u +\lambda u=u^p+\mu f(x), \quad u>0\quad \text{in } \Omega,\cr u =0, \quad \
Kun Cheng, Li Wang
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CRITICAL EXPONENTS IN NUCLEAR BREAKUP
Le Journal de Physique Colloques, 1987 The moments of the fragment size distribution are studied for single events in a nuclear fragmentation experiment. It is shown that this nuclear breakup has clean remanents of a critical phenomenon.
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Renormalization of the critical exponent for the shear modulus of magnetoactive elastomers. [PDF]
Sci Rep, 2018 Snarskii AA, Kalita VM, Shamonin M.
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A Brezis-Nirenberg problem on hyperbolic spaces
Electronic Journal of Differential Equations, 2019 We consider a Brezis-Nirenberg problem on the hyperbolic space $\mathbb{H}^n$. By using the stereographic projection, the problem becomes a singular problem on the boundary of the open ball $B_1(0)\subset \mathbb{R}^n$. Thanks to the Hardy inequality,
Paulo C. Carriao +3 more
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Mapped Exponent and Asymptotic Critical Exponent of Words
We study how much injective morphisms can increase the repetitiveness of a given word. This question has a few possible variations depending on the meaning of ``repetitiveness''. We concentrate on fractional exponents of finite words and asymptotic critical exponents of infinite words.
Foster, Eva +2 more
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Phase transitions of wave packet dynamics in disordered non-Hermitian systems
SciPost PhysicsDisorder can localize the eigenstates of one-dimensional non-Hermitian systems, leading to an Anderson transition with a critical exponent of 1. We show that, due to the lack of energy conservation, the dynamics of individual, real-space wave packets ...
Helene Spring, Viktor Könye, Fabian A. Gerritsma, Ion Cosma Fulga, Anton R. Akhmerov
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Schrödinger equation with critical Sobolev exponent
Differential and Integral Equations, 2004 In this paper we study the existence of solutions and their concentration phenomena of a singularly perturbed semilinear Schrodinger equation with the presence of the critical Sobolev exponent.
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