Results 31 to 40 of about 277 (57)

On Multiple Frequency Power Density Measurements

open access: yes, 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.
core   +1 more source

Existence and multiplicity of solutions for a class of superlinear p-Laplacian equations

open access: yesAdvances in Nonlinear Analysis
In this work, we investigate a class of pp-Laplacian equations with the Dirichlet boundary condition. Under some new conditions, the existence and multiplicity of nontrivial solutions are proved by means of the variational methods.
Zhao Tai-Jin, Li Chun
doaj   +1 more source

Infinitely many free or prescribed mass solutions for fractional Hartree equations and Pohozaev identities

open access: yesAdvanced Nonlinear Studies
In this paper we study the following nonlinear fractional Hartree (or Choquard-Pekar) equation (−Δ)su+μu=(Iα*F(u))F′(u) inRN, ${\left(-{\Delta}\right)}^{s}u+\mu u=\left({I}_{\alpha }{\ast}F\left(u\right)\right){F}^{\prime }\left(u\right)\quad \text{in} {\
Cingolani Silvia   +2 more
doaj   +1 more source

On a Kirchhoff type problems with potential well and indefinite potential

open access: yes, 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
core   +3 more sources

Multiplicity of solutions to discrete inclusions with the p(k)-Laplace type equations

open access: yesNonautonomous Dynamical Systems, 2018
In this article, we prove the existence and multiplicity of solutions to discrete inclusions with the p(k)-Laplace type equations. We are interested in the existence of three solutions with the aid of linking arguments and using a three critical points ...
Ouaro Stanislas, Zoungrana Malick
doaj   +1 more source

Strong Maximum Principle for Some Quasilinear Dirichlet Problems Having Natural Growth Terms

open access: yesAdvanced Nonlinear Studies, 2020
In this paper, dedicated to Laurent Veron, we prove that the Strong Maximum Principle holds for solutions of some quasilinear elliptic equations having lower order terms with quadratic growth with respect to the gradient of the solution.
Boccardo Lucio, Orsina Luigi
doaj   +1 more source

Experimental investigation on the uniqueness of a center of a body

open access: yes, 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
core   +1 more source

Concentrating solutions for a planar elliptic problem with large nonlinear exponent and Robin boundary condition

open access: yesAdvances in Nonlinear Analysis, 2019
Let Ω ⊂ ℝ2 be a bounded domain with smooth boundary and b(x) > 0 a smooth function defined on ∂Ω. We study the following Robin boundary value problem:
Zhang Yibin, Shi Lei
doaj   +1 more source

Sign-Changing Solutions for the One-Dimensional Non-Local sinh-Poisson Equation

open access: yesAdvanced Nonlinear Studies, 2020
We study the existence of sign-changing solutions for a non-local version of the sinh-Poisson equation on a bounded one-dimensional interval I, under Dirichlet conditions in the exterior of I.
DelaTorre Azahara   +2 more
doaj   +1 more source

Problemas con porcentajes... ¿o porcentajes con problemas? [PDF]

open access: yes, 2015
El presente trabajo consiste en explorar de qué manera alumnos del penúltimo año de escolaridad obligatoria, alumnos aspirantes a ingresar a una Facultad de Ciencias Exactas y docentes en formación resuelven un problema cuya solución involucra el ...
Astiz, Mercedes   +5 more
core  

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