Results 121 to 130 of about 15,562 (203)

An application of shape differentiation to the effectiveness of a steady state reaction-diffusion problem arising in chemical engineering

Electronic Journal of Differential Equations, 2015
In applications it is common to arrive at a problem where the choice of an optimal domain is considered. One such problem is the one associated with the steady state reaction diffusion equation given by a semilinear elliptic equation with a monotone ...
Jesus Ildefonso Diaz, David Gomez-Castro
doaj  

A proof of validity for multiphase Whitham modulation theory. [PDF]

Proc Math Phys Eng Sci, 2020
Bridges TJ, Kostianko A, Schneider G.
europepmc   +1 more source

Bifurcation of positive solutions for a semilinear equation with critical Sobolev exponent

Electronic Journal of Differential Equations, 2006
In this note we consider bifurcation of positive solutions to the semilinear elliptic boundary-value problem with critical Sobolev exponent $$displaylines{ -Delta u = lambda u - alpha u^p+ u^{2^*-1}, quad u >0 , quad hbox{in } Omega,cr u=0, quad hbox ...
Yuanji Cheng
doaj  

A priori estimates for global solutions and multiple equilibria of a superlinear parabolic problem involving measures

Electronic Journal of Differential Equations, 2001
We consider a noncoercive elliptic problem in a bounded domain with a power nonlinearity and measure data. It is known that the problem possesses a stable solution and we prove existence of three further solutions. The proof is based on uniform bounds of
Pavol Quittner
doaj  

VEMcomp: a Virtual Elements MATLAB package for bulk-surface PDEs in 2D and 3D. [PDF]

Numer Algorithms
Frittelli M, Madzvamuse A, Sgura I.
europepmc   +1 more source

Optimal Runge approximation for nonlocal wave equations and unique determination of polyhomogeneous nonlinearities. [PDF]

Calc Var Partial Differ Equ
Lin YH, Tyni T, Zimmermann P.
europepmc   +1 more source

Nonlinear viscoelasticity of strain rate type: an overview. [PDF]

Proc Math Phys Eng Sci, 2021
Şengül Y.
europepmc   +1 more source

Companion-based multi-level finite element method for computing multiple solutions of nonlinear differential equations. [PDF]

Comput Math Appl
Hao W, Lee S, Lee YJ.
europepmc   +1 more source

Can physics-informed neural networks beat the finite element method? [PDF]

IMA J Appl Math
Grossmann TG, Komorowska UJ, Latz J, Schönlieb CB.   +3 more
europepmc   +1 more source

Chaotic-Like Transfers of Energy in Hamiltonian PDEs. [PDF]

Commun Math Phys, 2021
Giuliani F, Guardia M, Martin P, Pasquali S.   +3 more
europepmc   +1 more source