Abstract
We consider nonlocal elliptic boundary value problems of the form $$ -\mathcal{A}(x,u) \bigtriangleup u = \lambda f(u) $$ with Dirichlet boundary conditions. We show that if $f$ has $n$ loops, then the problem has at least $n$ distinct solutions, by using very simple comparison principles. Also, we study the asymptotic behavior of such solutions as the parameter $\lambda $ tends to $\infty$.
Citation
Michel Chipot. Prosenjit Roy. "Existence results for some functional elliptic equations." Differential Integral Equations 27 (3/4) 289 - 300, March/April 2014. https://doi.org/10.57262/die/1391091367
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