Harnack type inequalities and multiple solutions in cones of nonlinear problems

DOI10.4171/ZAA/1655zbMath1444.47065MaRDI QIDQ2180207

Donal O'Regan, Diana-Raluca Herlea, Radu Precup

Publication date: 13 May 2020

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

Harnack inequalitypositive solutionboundary value problemoperator equationKrasnosel'skii's fixed point theorem in cones

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Nonlinear boundary value problems for ordinary differential equations (34B15) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (5)

Componentwise localization of solutions to systems of operator inclusions via Harnack type inequalities ⋮ Multiplicity results for operator systems via fixed point index ⋮ Compression-expansion fixed point theorems for decomposable maps and applications to discontinuous \(\phi\)-Laplacian problems ⋮ A fixed point index approach to Krasnosel'skii-Precup fixed point theorem in cones and applications ⋮ A four-point \(\phi\)-Laplacian BVPs with first-order derivative dependence

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