Results 31 to 40 of about 529 (62)
Infinitely many solutions for Hamiltonian system with critical growth
Advances in Nonlinear AnalysisIn this article, we consider the following elliptic system of Hamiltonian-type on a bounded domain:−Δu=K1(∣y∣)∣v∣p−1v,inB1(0),−Δv=K2(∣y∣)∣u∣q−1u,inB1(0),u=v=0on∂B1(0),\left\{\begin{array}{ll}-\Delta u={K}_{1}\left(| y| ){| v| }^{p-1}v,\hspace{1.0em ...
Guo Yuxia, Hu Yichen
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Klein–Gordon–Maxwell Systems with Nonconstant Coupling Coefficient
Advanced Nonlinear Studies, 2018 We study a Klein–Gordon–Maxwell system in a bounded spatial domain under Neumann boundary conditions on the electric potential. We allow a nonconstant coupling coefficient. For sufficiently small data, we find infinitely many static solutions.
Lazzo Monica, Pisani Lorenzo
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Limit solutions of the Chern-Simons equation
, 2012 We investigate the scalar Chern-Simons equation $-\Delta u + e^u(e^u-1) = \mu$ in cases where there is no solution for a given nonnegative finite measure $\mu$. Approximating $\mu$ by a sequence of nonnegative $L^1$ functions or finite measures for which
Ponce, Augusto C., Presoto, Adilson E.
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Parabolic Biased Infinity Laplacian Equation Related to the Biased Tug-of-War
Advanced Nonlinear Studies, 2019 In this paper, we study the parabolic inhomogeneous β-biased infinity Laplacian equation arising from the β-biased tug-of ...
Liu Fang, Jiang Feida
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Stable determination of a Lamé coefficient by one internal measurement of displacement [PDF]
Journal of Mathematical Analysis and Applications, vol. 452, pp.
388-400, 2017, 2017 In this paper we show that the shear modulus $\mu$ of an isotropic elastic body can be stably recovered by the knowledge of one single displacement field whose boundary data can be assigned independently of the unknown elasticity tensor.
arxiv +1 more source
Advances in Nonlinear AnalysisConsidering the prevalence of asymptomatic individuals during the spread of disease, this article develops a model of degenerate reaction diffusion Cholera with asymptomatic individuals. First, the well-posedness of model is studied, including the global
Wang Shengfu, Nie Linfei
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Generalized Schr\"odinger-Newton system in dimension $N\ge 3$: critical case
, 2016 In this paper we study a system which is equivalent to a nonlocal version of the well known Brezis Nirenberg problem. The difficulties related with the lack of compactness are here emphasized by the nonlocal nature of the critical nonlinear term.
Azzollini, Antonio +2 more
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Continuity Properties for Divergence Form Boundary Data Homogenization Problems [PDF]
Analysis & PDE 12 (2019) 1963-2002, 2018 We study the continuity/discontinuity of the effective boundary condition for periodic homogenization of oscillating Dirichlet data for nonlinear divergence form equations and linear systems. For linear systems we show continuity, for nonlinear equations we give an example of discontinuity.
arxiv +1 more source
Positive solutions to p-Laplace reaction-diffusion systems with nonpositive right-hand side [PDF]
, 2015 The aim of the paper is to show the existence of positive solutions to the elliptic system of partial differential equations involving the $p$-Laplace operator\[\begin{cases}-\Delta_p u_i(x) = f_i(u_1 (x),u_2(x),\ldots,u_m(x)), & x\in \Omega,\ 1\leq ...
Maciejewski, Mateusz
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Generalized Schrodinger-Poisson type systems [PDF]
arXiv, 2010 In this paper we study some Schrodinger-Poisson type systems on a bounded domain, with Dirichlet boundary condition on both the variables.
arxiv