Results 81 to 90 of about 15,138,774 (296)
Multiplicity results for double phase problems involving a new type of critical growth [PDF]
arXiv, 2023 Using variational methods, we obtain several multiplicity results for double phase problems that involve variable exponents and a new type of critical growth. This new critical growth is better suited for double phase problems when compared to previous works on the subject.
arxiv
AIMS MathematicsIn this paper, we study the following Kirchhoff-type equation:$ \begin{equation*} M\left(\displaystyle{\int}_{\mathbb{R}^2}(|\nabla u|^2 +u^2)\mathrm{d} x\right)(-\Delta u+u) + \mu V(x)u = K(x) f(u) \ \ \mathrm{in} \ \ \mathbb{R}^2, \end{equation ...
Zhenluo Lou , Jian Zhang
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Double phase anisotropic variational problems involving critical growth
Advances in Nonlinear AnalysisIn this study, we investigate some existence results for double phase anisotropic variational problems involving critical growth. We first establish a Lions-type concentration-compactness principle and its variant at infinity for the solution space ...
Ho Ky, Kim Yun-Ho, Zhang Chao
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Fractional elliptic systems with nonlinearities of arbitrary growth
Electronic Journal of Differential Equations, 2017 In this article we discuss the existence, uniqueness and regularity of solutions of the following system of coupled semilinear Poisson equations on a smooth bounded domain $\Omega$ in $\mathbb{R}^n$: $$\displaylines{ \mathcal{A}^s u= v^p \quad\text ...
Edir Junior Ferreira Leite
doaj
Advances in Nonlinear Analysis, 2021 We are concerned with a class of Choquard type equations with weighted potentials and Hardy–Littlewood–Sobolev lower critical ...
Zhou Shuai, Liu Zhisu, Zhang Jianjun
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Determination of the critical growth rate and growth temperature for group-III elements segregation using two exchanges Kinetic Model [PDF]
arXiv, 2017 Segregation of group-III elements during the molecular-beam epitaxy growth of III-V compounds leads to a non-abrupt interface. The composition asymmetry in the structures such as quantum wells, quantum dots, and superlattices, in turn, leads to the non-abrupt electronic band alignments that changes the optoelectronic properties of those quantum ...
arxiv
Single--peaks for a magnetic Schrödinger equation with critic al growth [PDF]
arXiv, 2006 We prove existence results of complex-valued solutions for a semilinear Schr\"odinger equation with critical growth under the perturbation of an external electromagnetic field. Solutions are found via an abstract perturbation result in critical point theory.
arxiv
Electronic Journal of Qualitative Theory of Differential Equations, 2017 This paper is concerned with the following quasilinear Schrödinger system in $\mathbb{R}^N$: \begin{equation*} \begin{cases} -\varepsilon^2\Delta u+V_1(x)u-\varepsilon^2\Delta(u^{2})u=K_1(x)|u|^{22^*-2}u+h_1(x,u,v)u, \\ -\varepsilon^2\Delta v+V_2(x)v ...
Lili Wang, Xiangdong Fang, Zhi-Qing Han
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Growth Equation with Conservation Law [PDF]
Phys. Rev. E 52, R1261-R1264 (1995)., 1995 A growth equation with a generalized conservation law characterized by an integral kernel is introduced. The equation contains the Kardar-Parisi-Zhang, Sun-Guo-Grant, and Molecular-Beam Epitaxy growth equations as special cases and allows for a unified investigation of growth equations.
arxiv
The Tayler instability of toroidal magnetic fields in a columnar gallium experiment
, 2010 The nonaxisymmetric Tayler instability of toroidal magnetic fields due to axial electric currents is studied for conducting incompressible fluids between two coaxial cylinders without endplates.
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