Results 81 to 90 of about 475 (219)
Electronic Journal of Differential Equations, 2004 We study the exact number of positive solutions of a two-point Dirichlet boundary-value problem involving the p-Laplacian operator. We consider the case $p=2$ and the case $p>1$, when the nonlinearity satisfies $f(0)>0$ (positone) and has three distinct ...
Idris Addou, Shin-Hwa Wang
doaj
Loop Type Subcontinua of Positive Solutions for Indefinite Concave-Convex Problems
Advanced Nonlinear Studies, 2019 We establish the existence of loop type subcontinua of nonnegative solutions for a class of concave-convex type elliptic equations with indefinite weights, under Dirichlet and Neumann boundary conditions.
Kaufmann Uriel +2 more
doaj +1 more source
Real‐Time Conformal Maps and Parameterizations
Computer Graphics Forum, EarlyView.Abstract We present a simple algorithm to conformally map between two simple and bounded planar domains based on the concept of harmonic measure, which is a conformal invariant. With suitable preprocessing, the algorithm is fast enough to compute all possible conformal maps (having three real degrees of freedom) between the two domains in real time in
Q. Chang, C. Gotsman, K. Hormann
wiley +1 more source
Exact multiplicity of positive solutions for concave–convex and convex–concave nonlinearities
Journal of Differential Equations, 2014 The authors give an unified treatment of the exact multiplicity results for both \(S\)-shaped and reversed \(S\)-shaped bifurcation for positive solutions of the two-point problem \[ u''+\lambda f(u)=0, \quad u(-1)=u(1)=0, \] depending on a positive parameter \(\lambda\), for both concave-convex and convex-concave nonlinearities \(f\).
Korman, Philip, Li, Yi
openaire +2 more sources
Basis Networks: Learning basis functions for free‐form triangulations
Computer Graphics Forum, EarlyView.Abstract We present a framework for learning compactly supported basis functions that define tangent continuous surfaces based on coarse irregular triangle meshes. The basis functions are represented as MLPs. Smoothness of the basis functions is achieved by using the values of Loop basis functions as the parameterization of the surface.
T. Djuren, M. Alexa
wiley +1 more source
Journal of Function Spaces, 2018 We study the existence of positive solutions for the system of nonlinear semipositone boundary value problems with Riemann-Liouville fractional derivatives D0+αD0+αu=f1t,u,u′,v,v ...
Xiaowei Qiu +3 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2012 In this paper, we study the combined effect of concave and convex nonlinearities on the number of nontrivial solutions for the $p$-biharmonic equation of the form \begin{equation}\left\{ \begin{array}{l} \Delta_{p}^{2}u=\vert u\vert^{q-2}u+\lambda f(x ...
Chao Ji, Weihua Wang
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Journal of Mathematical Analysis and Applications, 2004 The authors study the bifurcation diagrams of positive solutions of the two-point boundary value problem \(u''(x)+\lambda{g(u(x))}+h(u(x))=0 ...
Wang, Shin-Hwa, Yeh, Tzung-Shin
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Computer Graphics Forum, EarlyView.Abstract While semi‐analytical boundary handling techniques have proven effective for modeling particle‐based fluid‐solid interactions, they can become unstable when applied to mesh boundaries undergoing dynamic motion or featuring complex, sharp geometries.
Junyuan Liu +5 more
wiley +1 more source
When in Doubt, Tax More Progressively? Uncertainty and Progressive Income Taxation
International Economic Review, EarlyView.ABSTRACT We study the optimal income tax problem under parameter uncertainty about household preferences and wage dynamics. We derive conditions characterizing how such uncertainty affects optimal tax policy. To quantify the effect, we estimate a life‐cycle model using US data and a Bayesian approach.
Minsu Chang, Chunzan Wu
wiley +1 more source