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Article Contents

# Positive solutions for resonant boundary value problems with the scalar p-Laplacian and nonsmooth potential

• In this paper we study boundary value problem with one dimensional $p$-Laplacian. Assuming complete resonance at $+\infty$ and partial resonance at $0^+$, an existence of at least one positive solution is proved. By strengthening our assumptions we can guarantee strict positivity of the obtained solution.
Mathematics Subject Classification: Primary: 49J40; Secondary: 34B15, 34B18, 34A60.

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