Results 11 to 20 of about 265 (30)
On the solvability of discrete nonlinear Neumann problems involving the p(x)-Laplacian
, 2011 In this article, we prove the existence and uniqueness of solutions for a family of discrete boundary value problems for data f which belongs to a discrete Hilbert space W. 2010 Mathematics Subject Classification: 47A75; 35B38; 35P30; 34L05; 34L30.
A. Guiro, Ismael Nyanquini, S. Ouaro
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Absence of Critical Points of Solutions to the Helmholtz Equation in 3D [PDF]
, 2016 The focus of this paper is to show the absence of critical points for the solutions to the Helmholtz equation in a bounded domain $\Omega\subset\mathbb{R}^{3}$, given by \[ \left\{ \begin{array}{l} -\rm{div}(a\,\nabla u_{\omega}^{g})-\omega qu_{\omega ...
Alberti, Giovanni S.
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Local minimizers in spaces of symmetric functions and applications [PDF]
, 2014 We study $H^1$ versus $C^1$ local minimizers for functionals defined on spaces of symmetric functions, namely functions that are invariant by the action of some subgroups of $\mathcal{O}(N)$.
Dos Santos +3 more
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Multiple perturbations of a singular eigenvalue problem
, 2015 We study the perturbation by a critical term and a $(p-1)$-superlinear subcritical nonlinearity of a quasilinear elliptic equation containing a singular potential. By means of variational arguments and a version of the concentration-compactness principle
Cencelj, Matija +2 more
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, 2014 The coupling between dilatation and vorticity, two coexisting and fundamental processes in fluid dynamics is investigated here, in the simplest cases of inviscid 2D isotropic Burgers and pressureless Euler-Coriolis fluids respectively modeled by single ...
Choquard, Philippe, Vuffray, Marc
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Existence of positive solutions for a superlinear elliptic system with Neumann boundary condition [PDF]
, 2014 We prove the existence of a positive solution for a class of nonlin- ear elliptic systems with Neumann boundary conditions. The proof combines extensive use of a priori estimates for elliptic problems with Neumann boundary condition and Krasnoselskii ...
Cardeño, Juan C., Castro, Alfonso
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On Multiple Frequency Power Density Measurements
, 2013 We shall give a priori conditions on the illuminations $\phi_i$ such that the solutions to the Helmholtz equation $-div(a \nabla u^i)-k q u^i=0$ in \Omega, $u^i=\phi_i$ on $\partial\Omega$, and their gradients satisfy certain non-zero and linear ...
Alberti, Giovanni S.
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On a Kirchhoff type problems with potential well and indefinite potential
, 2015 In this paper, we study the following Kirchhoff type problem:% $$ \left\{\aligned&-\bigg(\alpha\int_{\bbr^3}|\nabla u|^2dx+1\bigg)\Delta u+(\lambda a(x)+a_0)u=|u|^{p-2}u&\text{ in }\bbr^3,\\% &u\in\h,\endaligned\right.\eqno{(\mathcal{P}_{\alpha,\lambda})}
Huang, Yisheng, Liu, Zeng, Wu, Yuanze
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Experimental investigation on the uniqueness of a center of a body
, 2016 The object of our investigation is a point that gives the maximum value of a potential with a strictly decreasing radially symmetric kernel. It defines a center of a body in Rm.
Sakata, Shigehiro
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, 1998 In this paper we provide detailed information about the instability of equilibrium solutions of a nonlinear family of localized reaction-difussion equations in dimensione one.
Lancheros, Edgar Yesid Mayorga +1 more
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