Results 161 to 170 of about 1,398 (233)

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

open access: yesElectronic 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 proof of validity for multiphase Whitham modulation theory. [PDF]

open access: yesProc Math Phys Eng Sci, 2020
Bridges TJ, Kostianko A, Schneider G.
europepmc   +1 more source

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

open access: yesElectronic 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  

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

open access: yesIMA J Appl Math
Grossmann TG   +3 more
europepmc   +1 more source

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