Results 31 to 40 of about 108 (104)

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

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

Existence of positive singular solutions for a class of quasilinear elliptic equations

open access: yes, 2000
We establish existence of singular positive radial solutions to-div(A(\del u\)del u) = f(u)either to a Dirichlet problem in a punctured ball centered at the origin, or in R-N\{0}. (C) 2000 Elsevier Science B.V. All rights reserved.
Garcia Huidobro, M   +2 more
core   +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

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

SECOND ORDER ESTIMATES AND REGULARITY FOR FULLY NONLINEAR ELLIPTIC EQUATIONS ON RIEMANNIAN MANIFOLDS [PDF]

open access: yes, 2020
. We derive a priori second order estimates for solutions of a class of fully nonlinear elliptic equations on Riemannian manifolds under structure conditions which are close to optimal.
B O Guan
core  

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

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

Global Existence and Uniqueness for Viscoelastic Equations With Nonstandard Growth Conditions [PDF]

open access: yes
This paper is devoted to the study of generalized viscoelastic nonlinear equations with Dirichlet-Neumann boundary conditions. We establish the local and uniqueness of weak solutions results in Sobolev spaces with variable exponents.
RAHMOUNE, Abita
core   +1 more source

A new regularity criterion for weak solutions to the Navier-Stokes equations [PDF]

open access: yes, 2020
. In this paper we obtain a new regularity criterion for weak solutions to the 3-D Navier-Stokes equations. We show that if any one component of the velocity field belongs to the weak solution actually is regular and unique. Titre.
Zhou Yong@alumni, Yong Zhou
core  

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