Results 161 to 170 of about 75,181 (273)

Some remarks on biharmonic elliptic problems with positive, increasing and convex nonlinearities

open access: yesElectronic Journal of Differential Equations, 2005
We study the existence of positive solutions for a fourth order semilinear elliptic equation under Navier boundary conditions with positive, increasing and convex source term. Both bounded and unbounded solutions are considered. When compared with second
Filippo Gazzola, Elvise Berchio
doaj  

Existence of infinitely many solutions for semilinear elliptic equations

open access: yesElectronic Journal of Differential Equations, 2016
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  

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