Results 141 to 150 of about 52,371 (280)

Non Uniqueness of Power-Law Flows. [PDF]

open access: yesCommun Math Phys, 2021
Burczak J, Modena S, Székelyhidi L.
europepmc   +1 more source

Multiplicity results for nonlinear elliptic equations

open access: yesElectronic Journal of Differential Equations, 2006
Let $Omega$ be a bounded domain in $mathbb{R}^{N}$, $Ngeq 3$, and $p=frac{2N}{N-2}$ the limiting Sobolev exponent. We show that for $fin H^1_0(Omega)^ast$, satisfying suitable conditions, the nonlinear elliptic problem $$displaylines{ -Delta u =|u |^{ p ...
Samira Benmouloud   +2 more
doaj  

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 unified first-order hyperbolic model for nonlinear dynamic rupture processes in diffuse fracture zones. [PDF]

open access: yesPhilos Trans A Math Phys Eng Sci, 2021
Gabriel AA   +6 more
europepmc   +1 more source

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