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

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 operator, $N>p>1$, $\varphi_p (s):=|s|^{p-2...

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Bibliographic Details
Main Authors: Sigifredo Herron, Emer Lopera, Diana Sanchez
Format: Article
Language:English
Published: Texas State University 2025-05-01
Series:Electronic Journal of Differential Equations
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Online Access:http://ejde.math.txstate.edu/Volumes/2025/47/abstr.html
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