Results 121 to 130 of about 6,660 (232)

On subsolutions and concavity for fully nonlinear elliptic equations

open access: yesAdvanced Nonlinear Studies
Subsolutions and concavity play critical roles in classical solvability, especially a priori estimates, of fully nonlinear elliptic equations. Our first primary goal in this paper is to explore the possibility to weaken the concavity condition.
Guan Bo
doaj   +1 more source

A reduction method for proving the existence of solutions to elliptic equations involving the p-laplacian

open access: yesElectronic Journal of Differential Equations, 2003
We introduce a reduction method for proving the existence of solutions to elliptic equations involving the p-Laplacian operator. The existence of solutions is implied by the existence of a positive essentially weak subsolution on a manifold and the ...
Mohamed Benalili, Youssef Maliki
doaj  

Schouten tensor equations in conformal geometry with prescribed boundary metric

open access: yesElectronic Journal of Differential Equations, 2005
We deform the metric conformally on a manifold with boundary. This induces a deformation of the Schouten tensor. We fix the metric at the boundary and realize a prescribed value for the product of the eigenvalues of the Schouten tensor in the interior ...
Oliver C. Schnuerer
doaj  

Existence of three positive solutions for a p-sublinear problem involving a Schrodinger p-Laplacian type operator

open access: yesElectronic Journal of Differential Equations
We prove the existence of three positive solutions for the problem $$\disolaylines{ -\Delta_p u + V (x)\varphi_p(u)=\lambda f(u),\quad x\in \Omega, \cr u(x)=0, \quad x\in \partial\Omega, } $$ where $\lambda >0$, $\Delta_p$ is the $p$-Laplacian ...
Sigifredo Herron   +2 more
doaj  

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