Overcoming the curse of dimensionality in the numerical approximation of semilinear parabolic partial differential equations. [PDF]
Hutzenthaler M +4 more
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Existence of infinitely many solutions for semilinear elliptic equations
In this article, we study the existence and infinitely many solutions for the elliptic boundary-value problem $$\displaylines{ -\Delta u+a(x)u=f(x,u) \quad\text{in }\Omega, \cr u=0 \quad\text{on }\partial\Omega.
Hui-Lan Pan, Chun-Lei Tang
doaj
Bifurcation analysis for axisymmetric capillary water waves with vorticity and swirl. [PDF]
Erhardt AH, Wahlén E, Weber J.
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A proof of validity for multiphase Whitham modulation theory. [PDF]
Bridges TJ, Kostianko A, Schneider G.
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Numerical Approaches for Recovering the Deformable Membrane Profile of Electrostatic Microdevices for Biomedical Applications. [PDF]
Versaci M, Morabito FC.
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Symmetry and monotonicity of solutions to some variational problems in cylinders and annuli
We prove symmetry and monotonicity properties for local minimizers and stationary solutions of some variational problems related to semilinear elliptic equations in a cylinder $(-a,a)imes omega$, where $omega $ is a bounded smooth domain in $mathbb{R}^{N-
Friedemann Brock
doaj
Overcoming the curse of dimensionality in the numerical approximation of high-dimensional semilinear elliptic partial differential equations. [PDF]
Beck C, Gonon L, Jentzen A.
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Optimal Runge approximation for nonlocal wave equations and unique determination of polyhomogeneous nonlinearities. [PDF]
Lin YH, Tyni T, Zimmermann P.
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VEMcomp: a Virtual Elements MATLAB package for bulk-surface PDEs in 2D and 3D. [PDF]
Frittelli M, Madzvamuse A, Sgura I.
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Companion-based multi-level finite element method for computing multiple solutions of nonlinear differential equations. [PDF]
Hao W, Lee S, Lee YJ.
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