Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
- Keyword
-
- Local degree (2)
- Mountain pass lemma (2)
- Multiplicity of solutions (2)
- Nonlinear elliptic equations (2)
- Advection (1)
-
- Bifurcation (1)
- Critical exponent (1)
- Dimension function (1)
- Dirichlet problem (1)
- Extending of spaces (1)
- Extension problems (1)
- Finite amplitude convection (1)
- Ginzburg-Landau equation (1)
- Lattice theory (1)
- Modulation theory (1)
- Nodal curves (1)
- Nonblocking Networks (1)
- Passive scalar (1)
- Radially symmetric solutions (1)
- Rearrangeable Networks (1)
- Rings (Algebra) (1)
- Semipositone problems (1)
- Small-diffusion limit (1)
- Stable and unstable positive solutions (1)
- Stress-free boundaries (1)
- Superconcentrators (1)
- Theory of dimension (1)
- Vortex couple (1)
- Publication
- Publication Type
Articles 1 - 30 of 30
Full-Text Articles in Physical Sciences and Mathematics
Multiple Solutions For A Nonlinear Dirichlet Problem, Alfonso Castro, Jorge Cossio
Multiple Solutions For A Nonlinear Dirichlet Problem, Alfonso Castro, Jorge Cossio
All HMC Faculty Publications and Research
The authors prove that a semilinear elliptic boundary value problem has five solutions when the range of the derivative of the nonlinearity includes at least the first two eigenvalues. Extensive use is made of Lyapunov-Schmidt reduction arguments, the mountain pass lemma, and characterizations of the local degree of critical points.
Multiple Solutions For A Semilinear Dirichlet Problem, Alfonso Castro, Jorge Cossio
Multiple Solutions For A Semilinear Dirichlet Problem, Alfonso Castro, Jorge Cossio
All HMC Faculty Publications and Research
The authors prove that a semilinear elliptic boundary value problem has five solutions when the range of the derivative of the nonlinearity includes at least the first two eigenvalues. Extensive use is made of Lyapunov–Schmidt reduction arguments, the mountain pass lemma, and characterizations of the local degree of critical points.
Lattice-Ordered Algebras That Are Subdirect Products Of Valuation Domains, Melvin Henriksen, Suzanne Larson, Jorge Martinez, R. G. Woods
Lattice-Ordered Algebras That Are Subdirect Products Of Valuation Domains, Melvin Henriksen, Suzanne Larson, Jorge Martinez, R. G. Woods
All HMC Faculty Publications and Research
An f-ring (i.e., a lattice-ordered ring that is a subdirect product of totally ordered rings) A is called an SV-ring if A/P is a valuation domain for every prime ideal P of A. If M is a maximal ℓ-ideal of A , then the rank of A at M is the number of minimal prime ideals of A contained in M, rank of A is the sup of the ranks of A at each of its maximal ℓ-ideals. If the latter is a positive integer, then A is said to have finite rank, and if A …
Letter From The Editor, Issue 10, 1994, Alvin White
Letter From The Editor, Issue 10, 1994, Alvin White
Humanistic Mathematics Network Journal
No abstract provided.
Female Voices In Mathematics: A New Course, Shobha Gulati
Female Voices In Mathematics: A New Course, Shobha Gulati
Humanistic Mathematics Network Journal
No abstract provided.
Poetry, Helen Lewy
Mathematics In Literature And Poetry, Joanne S. Growney
Mathematics In Literature And Poetry, Joanne S. Growney
Humanistic Mathematics Network Journal
No abstract provided.
Math: It's Not Just A Four Letter Word, Susan Byerly
Math: It's Not Just A Four Letter Word, Susan Byerly
Humanistic Mathematics Network Journal
No abstract provided.
Nctm Standards, Second Edition: A Review And Commentary On Zalman Usiskin's Address, Harald M. Ness
Nctm Standards, Second Edition: A Review And Commentary On Zalman Usiskin's Address, Harald M. Ness
Humanistic Mathematics Network Journal
No abstract provided.
What Changes Should Be Made For The Second Edition Of The Nctm Standards?, Zalman Usiskin
What Changes Should Be Made For The Second Edition Of The Nctm Standards?, Zalman Usiskin
Humanistic Mathematics Network Journal
No abstract provided.
Epsilon And Delta: A Little Love Story, Bonnie Shulman
Epsilon And Delta: A Little Love Story, Bonnie Shulman
Humanistic Mathematics Network Journal
No abstract provided.
Humacrostic, Stephen I. Brown
Humacrostic, Stephen I. Brown
Humanistic Mathematics Network Journal
No abstract provided.
Radially Symmetric Solutions To A Dirichlet Problem Involving Critical Exponents, Alfonso Castro, Alexandra Kurepa
Radially Symmetric Solutions To A Dirichlet Problem Involving Critical Exponents, Alfonso Castro, Alexandra Kurepa
All HMC Faculty Publications and Research
In this paper we answer, for N = 3,4, the question raised in [1] on the number of radially symmetric solutions to the boundary value problem -Δu(x) = λu(x) + u(x)|u(x)|^{4/(N-2)}, x ε B: = x ε RN:{|x| < 1}, u(x)=0, x ε ∂B, where Δ is the Laplacean operator and λ>0. Indeed, we prove that if N = 3,4, then for any λ>0 this problem has only finitely many radial solutions. For N = 3,4,5 we show that, for each λ>0, the set of radially symmetric solutions is bounded. Moreover, we establish geometric properties of the branches of solutions bifurcating from zero and from infinity.
Letter From The Editor, Issue 9, 1994, Alvin White
Letter From The Editor, Issue 9, 1994, Alvin White
Humanistic Mathematics Network Journal
No abstract provided.
Writing Mathematics, E. G. Bernard
Writing Mathematics, E. G. Bernard
Humanistic Mathematics Network Journal
No abstract provided.
Letter To The Editor, Ken Ross
Letter To The Editor, Ken Ross
Humanistic Mathematics Network Journal
No abstract provided.
The Language Of Mathematics: A Quantitative Course For A General Audience, Stephanie F. Singer
The Language Of Mathematics: A Quantitative Course For A General Audience, Stephanie F. Singer
Humanistic Mathematics Network Journal
No abstract provided.
Mathematics And The Arts: Taking Their Resemblances Seriously, Frederick Reiner
Mathematics And The Arts: Taking Their Resemblances Seriously, Frederick Reiner
Humanistic Mathematics Network Journal
No abstract provided.
Students' Understanding Of Functions In Calculus Courses, G. S. Monk
Students' Understanding Of Functions In Calculus Courses, G. S. Monk
Humanistic Mathematics Network Journal
No abstract provided.
Poems, Lee Goldstein
Back Matter, Issue 9, 1994
Humanistic Mathematics Network Journal
No abstract provided.
Philosophy Of Mathematics, Mathematics Education, And Philosophy Of Mathematics Education, Yuxin Zheng
Philosophy Of Mathematics, Mathematics Education, And Philosophy Of Mathematics Education, Yuxin Zheng
Humanistic Mathematics Network Journal
No abstract provided.
Mathematics For Math Majors: Loss Of Self-Esteem, Chun-Ip Fung, Man-Keung Siu
Mathematics For Math Majors: Loss Of Self-Esteem, Chun-Ip Fung, Man-Keung Siu
Humanistic Mathematics Network Journal
No abstract provided.
Space Venture, Edward E. Chipman
Space Venture, Edward E. Chipman
Humanistic Mathematics Network Journal
No abstract provided.
Uniqueness Of Stable And Unstable Positive Solutions For Semipositone Problems, Alfonso Castro, Sudhasree Gadam
Uniqueness Of Stable And Unstable Positive Solutions For Semipositone Problems, Alfonso Castro, Sudhasree Gadam
All HMC Faculty Publications and Research
Abstract not included in this article.
Fault-Tolerant Circuit-Switching Networks, Nicholas Pippenger, Geng Lin
Fault-Tolerant Circuit-Switching Networks, Nicholas Pippenger, Geng Lin
All HMC Faculty Publications and Research
The authors consider fault-tolerant circuit-switching networks under a random switch failure model. Three circuit-switching networks of theoretical importance—nonblocking networks, rearrangeable networks, and superconcentrators—are studied. The authors prove lower bounds for the size (the number of switches) and depth (the largest number of switches on a communication path) of such fault-tolerant networks and explicitly construct such networks with optimal size Θ( n (log n)2 ) and depth Θ( log n ).
Review: J.M. Aarts And T. Nishiura, Dimension And Extensions (Amsterdam, London, New York, And Tokyo, 1993), Melvin Henriksen
Review: J.M. Aarts And T. Nishiura, Dimension And Extensions (Amsterdam, London, New York, And Tokyo, 1993), Melvin Henriksen
All HMC Faculty Publications and Research
Reviewed work: J. M. Aarts and T. Nishiura. Dimension and extensions. North-Holland Math. Library, Amsterdam, London, New York, and Tokyo, 1993, xii + 331 pp., $106.50. ISBN 0444897402.
Finite Amplitude Convection Between Stress-Free Boundaries; Ginzburg-Landau Equations And Modulation Theory, Andrew J. Bernoff
Finite Amplitude Convection Between Stress-Free Boundaries; Ginzburg-Landau Equations And Modulation Theory, Andrew J. Bernoff
All HMC Faculty Publications and Research
The stability theory for rolls in stress-free convection at finite Prandtl number is affected by coupling with low wavenumber two-dimensional mean-flow modes. In this work, a set of modified Ginzburg-Landau equations describing the onset of convection is derived which accounts for these additional modes. These equations can be used to extend the modulation equations of Zippelius & Siggia describing the breakup of rolls, bringing their stability theory into agreement with the results of Busse & Bolton.
Advection Of A Passive Scalar By A Vortex Couple In The Small-Diffusion Limit, Joseph F. Lingevitch, Andrew J. Bernoff
Advection Of A Passive Scalar By A Vortex Couple In The Small-Diffusion Limit, Joseph F. Lingevitch, Andrew J. Bernoff
All HMC Faculty Publications and Research
We study the advection of a passive scalar by a vortex couple in the small-diffusion (i.e. large Péclet number, Pe) limit. The presence of weak diffusion enhances mixing within the couple and allows the gradual escape of the scalar from the couple into the surrounding flow. An averaging technique is applied to obtain an averaged diffusion equation for the concentration inside the dipole which agrees with earlier results of Rhines & Young for large times. At the outer edge of the dipole, a diffusive boundary layer of width O(Pe−½) forms; asymptotic matching to the interior …