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Displaying 701 – 720 of 17469

A note on surfaces with radially symmetric nonpositive Gaussian curvature

Joseph Shomberg (2005)

Mathematica Bohemica

It is easily seen that the graphs of harmonic conjugate functions (the real and imaginary parts of a holomorphic function) have the same nonpositive Gaussian curvature. The converse to this statement is not as simple. Given two graphs with the same nonpositive Gaussian curvature, when can we conclude that the functions generating their graphs are harmonic? In this paper, we show that given a graph with radially symmetric nonpositive Gaussian curvature in a certain form, there are (up to) four families...

A note on symmetries of invariant sets with compact group actions

Field, Michael, Golubitsky, Martin, Nicol, Matthew (1994)

Equadiff 8

A note on the approximation of free boundaries by finite element methods

Ricardo H. Nochetto (1986)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

A Note on the Approximation of Mildly Nonlinear Dirichlet Problems by Finite Differences.

R. Meyer-Spasche (1979)

Numerische Mathematik

A note on the bifurcation of solutions for an elliptic sublinear problem

Alessio Porretta (2002)

Rendiconti del Seminario Matematico della Università di Padova

A note on the Cahn-Hilliard equation in $H^{1} (ℝ^{N})$ involving critical exponent

Jan W. Cholewa, Aníbal Rodríguez-Bernal (2014)

Mathematica Bohemica

We consider the Cahn-Hilliard equation in $H^{1} (ℝ^{N})$ with two types of critically growing nonlinearities: nonlinearities satisfying a certain limit condition as $| u | \to \infty$ and logistic type nonlinearities. In both situations we prove the $H^{2} (ℝ^{N})$ -bound on the solutions and show that the individual solutions are suitably attracted by the set of equilibria. This complements the results in the literature; see J. W. Cholewa, A. Rodriguez-Bernal (2012).

A note on the convexity theorem for mean values of subtemperatures.

Brzezina, Miroslav (1996)

Annales Academiae Scientiarum Fennicae. Series A I. Mathematica

A note on the difference schemes for hyperbolic equations.

Ashyralyev, A., Sobolevskii, P.E. (2001)

Abstract and Applied Analysis

A note on the Dirichlet problem for the elliptic linear operator in Sobolev spaces with weight $d_{M}^{ϵ}$

Aleš Nekvinda, Luboš Pick (1988)

Commentationes Mathematicae Universitatis Carolinae

A note on the effect of numerical quadrature in finite element eigenvalue approximation.

Uday Banerjee (1992)

Numerische Mathematik

A note on the efficiency of residual-based a posteriori error estimators for some mixed finite element methods.

Gatica, Gabriel N. (2004)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

A note on the existence of positive solutions of one-dimensional $p$ -Laplacian boundary value problems

Yuji Liu (2010)

Applications of Mathematics

This paper is concerned with the existence of positive solutions of a multi-point boundary value problem for higher-order differential equation with one-dimensional $p$ -Laplacian. Examples are presented to illustrate the main results. The result in this paper generalizes those in existing papers.

A note on the existence of solution for semilinear heat equations with polynomial growth nonlinearity

Wan Se Kim (1993)

Commentationes Mathematicae Universitatis Carolinae

The existence of weak solution for periodic-Dirichlet problem to semilinear heat equations with superlinear growth non-linear term is treated.

A note on the existence of two nontrivial solutions of a resonance problem.

To Fu Ma (1994)

Portugaliae Mathematica

A note on the generalized energy inequality in the Navier-Stokes equations

Petr Kučera, Zdeněk Skalák (2003)

Applications of Mathematics

We prove that there exists a suitable weak solution of the Navier-Stokes equation, which satisfies the generalized energy inequality for every nonnegative test function. This improves the famous result on existence of a suitable weak solution which satisfies this inequality for smooth nonnegative test functions with compact support in the space-time.

This note contains some remarks on the paper of Y. Naito concerning the parabolic system of chemotaxis and published in this volume.

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