Results 31 to 40 of about 176 (89)

On three‐point boundary value problem with a weighted integral condition for a class of singular parabolic equations

open access: yesAbstract and Applied Analysis, Volume 7, Issue 10, Page 517-530, 2002., 2002
We deal with a three point boundary value problem for a class of singular parabolic equations with a weighted integral condition in place of one of standard boundary conditions. We will first establish an a priori estimate in weighted spaces. Then, we prove the existence, uniqueness, and continuous dependence of a strong solution.
Abdelfatah Bouziani
wiley   +1 more source

Dirichlet problem for divergence form elliptic equations with discontinuous coefficients

open access: yes, 2012
We study the Dirichlet problem for linear elliptic second order partial differential equations with discontinuous coefficients in divergence form in unbounded domains.
S. Monsurrò, M. Transirico
semanticscholar   +1 more source

Mixed problem with integral boundary condition for a high order mixed type partial differential equation

open access: yes, 2003
International Journal of Stochastic Analysis, Volume 16, Issue 1, Page 69-79, 2003.
M. Denche, A. L. Marhoune
wiley   +1 more source

Mixed problem with nonlocal boundary conditions for a third‐order partial differential equation of mixed type

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 7, Page 417-426, 2001., 2001
We study a mixed problem with integral boundary conditions for a third‐order partial differential equation of mixed type. We prove the existence and uniqueness of the solution. The proof is based on two‐sided a priori estimates and on the density of the range of the operator generated by the considered problem.
M. Denche, A. L. Marhoune
wiley   +1 more source

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

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