Results 31 to 40 of about 1,188 (55)

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

Parabolic oblique derivative problem in generalized Morrey spaces

open access: yes, 2013
We study the regularity of the solutions of the oblique derivative problem for linear uniformly parabolic equations with VMO coefficients. We show that if the right-hand side of the parabolic equation belongs to certain generalized Morrey space than the ...
A Akbulut   +19 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

A weighted W2,p-a priori bound for a class of elliptic operators

open access: yes, 2013
We prove a weighted W2,p-a priori bound, p>1, for a class of uniformly elliptic second-order differential operators on unbounded domains. We deduce a uniqueness and existence result for the solution of the related Dirichlet problem.MSC: 35J25, 35B45 ...
S. Monsurrò, M. Transirico
semanticscholar   +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

Gaussian estimates for fundamental solutions of second order parabolic systems with time-independent coefficients

open access: yes, 2007
Auscher, McIntosh and Tchamitchian studied the heat kernels of second order elliptic operators in divergence form with complex bounded measurable coefficients on $\mathbb{R}^n$.
Kim, Seick
core   +2 more sources

Rigidity results for some boundary quasilinear phase transitions

open access: yes, 2008
We consider a quasilinear equation given in the half-space, i.e. a so called boundary reaction problem. Our concerns are a geometric Poincar\'e inequality and, as a byproduct of this inequality, a result on the symmetry of low-dimensional bounded stable ...
Sire, Yannick, Valdinoci, Enrico
core   +2 more sources

A compactness result for a Gelfand-Liouville system with Lipschitz condition

open access: yes, 2015
We give a quantization analysis to an elliptic system (Gelfand-Liouville type system) with Dirichlet condition.
Bahoura, Samy Skander
core  

Harnack's inequality for doubly nonlinear equations of slow diffusion type. [PDF]

open access: yesCalc Var Partial Differ Equ, 2021
Bögelein V   +3 more
europepmc   +1 more source

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