Positive radial solutions for Dirichlet problems via a Harnack-type inequality |
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| Authors: | Radu Precup Jorge Rodríguez-López |
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| Affiliation: | 1. Institute of Advanced Studies in Science and Technology STAR-UBB, Babeş-Bolyai University, Cluj-Napoca, Romania;2. CITMAga and Departamento de Estatística, Análise Matemática e Optimización, Facultade de Matemáticas, Universidade de Santiago de Compostela, Santiago, Spain |
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| Abstract: | We deal with the existence and localization of positive radial solutions for Dirichlet problems involving -Laplacian operators in a ball. In particular, -Laplacian and Minkowski-curvature equations are considered. Our approach relies on fixed point index techniques, which work thanks to a Harnack-type inequality in terms of a seminorm. As a consequence of the localization result, it is also derived the existence of several (even infinitely many) positive solutions. |
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| Keywords: | compression–expansion Dirichlet problem fixed point index Harnack-type inequality mean curvature operator Positive radial solution |
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