Results 31 to 40 of about 1,162 (78)

Spatial decay estimates for a class of nonlinear damped hyperbolic equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 1, Page 17-26, 2001., 2001
This paper is concerned with investigating the spatial decay estimates for a class of nonlinear damped hyperbolic equations. In addition, we compare the solutions of two‐dimensional wave equations with different damped coefficients and establish an explicit inequality which displays continuous dependence on this coefficient.
F. Tahamtani, K. Mosaleheh, K. Seddighi
wiley   +1 more source

Best possible estimates of weak solutions of boundary value problems for quasi-linear elliptic equations in unbounded domains

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
We investigate the behaviour of weak solutions of boundary value problems for quasi-linear elliptic divergence second order equations in unbounded domains. We show the boundedness of weak solutions to our problem.
Wiśniewski Damian
doaj   +1 more source

Biharmonic eigen‐value problems and Lp estimates

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 3, Page 469-480, 1990., 1989
Biharmonic eigen‐values arise in the study of static equilibrium of an elastic body which has been suitably secured at the boundary. This paper is concerned mainly with the existence of and Lp‐estimates for the solutions of certain biharmonic boundary value problems which are related to the first eigen‐values of the associated biharmonic operators. The
Chaitan P. Gupta, Ying C. Kwong
wiley   +1 more source

On Bellman‐Bihari integral inequalities

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 5, Issue 1, Page 97-103, 1982., 1982
Integral inequalities of the Bellman‐Bihari type are established for integrals involving an arbitrary number of independent variables.
Eutiquio C. Young
wiley   +1 more source

A-priori bounds for quasilinear problems in critical dimension

open access: yesAdvances in Nonlinear Analysis, 2019
We establish uniform a-priori bounds for solutions of the quasilinear ...
Romani Giulio
doaj   +1 more source

Non-Degeneracy of Peak Solutions to the Schrödinger–Newton System

open access: yesAdvanced Nonlinear Studies, 2021
We are concerned with the following Schrödinger–Newton problem:
Guo Qing, Xie Huafei
doaj   +1 more source

On an initial‐boundary value problem for the nonlinear Schrödinger equation

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2, Issue 3, Page 503-522, 1979., 1979
We study an initial‐boundary value problem for the nonlinear Schrödinger equation, a simple mathematical model for the interaction between electromagnetic waves and a plasma layer. We prove a global existence and uniqueness theorem and establish a Galerkin method for solving numerically the problem.
Herbert Gajewski
wiley   +1 more source

An upper bound for the least energy of a sign-changing solution to a zero mass problem

open access: yesAdvanced Nonlinear Studies
We give an upper bound for the least possible energy of a sign-changing solution to the nonlinear scalar field equation −Δu=f(u),u∈D1,2(RN), $-{\Delta}u=f\left(u\right), u\in {D}^{1,2}\left({\mathrm{R}}^{N}\right),$ where N ≥ 5 and the nonlinearity f is
Clapp Mónica   +2 more
doaj   +1 more source

Multiplicity of normalized solutions for nonlinear Choquard equations

open access: yesAdvanced Nonlinear Studies
In this paper, we consider the following nonlinear Choquard equation with prescribed L 2-norm: −Δu+λu=Iα∗F(u)f(u) in RN,∫RN|u|2dx=a>0,u∈H1(RN), $\begin{cases}-{\Delta}u+\lambda u=\left({I}_{\alpha }\ast F\left(u\right)\right)f\left(u\right) \,\text{in}\,
Long Chun-Fei   +3 more
doaj   +1 more source

A symmetrization result for a class of anisotropic elliptic problems

open access: yes, 2017
We prove estimates for weak solutions to a class of Dirichlet problems associated to anisotropic elliptic equations with a zero order term.Comment: arXiv admin note: text overlap with arXiv:1607 ...
Alberico, Angela   +2 more
core   +1 more source

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