Abstract
We prove, by using bifurcation theory, the existence of at least two positive solutions for the quasilinear problem $-\Delta_p u = f(x,u)$ in $\Omega$, $u=0$ on $\partial \Omega$, where $N>p>1$ and $\Omega$ is a smooth bounded domain in $\mathbb{R}^N$, $N\geq2,$ and the non-linearity $f$ is a locally Lipschitz continuous function, among other assumptions.
Citation
Lynnyngs Kelly Arruda. Ilma Marques. "On pairs of positive solutions for a class of quasilinear elliptic problems." Differential Integral Equations 22 (5/6) 575 - 585, May/June 2009. https://doi.org/10.57262/die/1356019607
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