Positive radial solutions for Dirichlet problems via a Harnack‐type inequality
Copyright policy )Positive radial solutions for Dirichlet problems via a Harnack‐type inequality
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.
Compression–expansion, Existence problems for PDEs: global existence, local existence, non-existence, Positive radial solution, Mean curvature operator, Boundary value problems for second-order elliptic equations, Harnack-type inequality, Fixed point index, \(\Phi\)-Laplacian, Quasilinear elliptic equations with \(p\)-Laplacian, existence of positive radial solutions, Dirichlet problem
Compression–expansion, Existence problems for PDEs: global existence, local existence, non-existence, Positive radial solution, Mean curvature operator, Boundary value problems for second-order elliptic equations, Harnack-type inequality, Fixed point index, \(\Phi\)-Laplacian, Quasilinear elliptic equations with \(p\)-Laplacian, existence of positive radial solutions, Dirichlet problem
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