For the following Neumann problem in a ball (Equation presented) radial (Equation presented), in B, on ∂B, with 1 < p < q < ∞, we prove continuous dependence on p, for radially nondecreasing solutions. As a byproduct, we obtain an existence result for nonconstant solutions in the case p ∈ (1, 2) and q larger than an explicit threshold.
Continuous dependence for p-Laplace equations with varying operators
Noris, Benedetta;Sovrano, Elisa
2025-01-01
Abstract
For the following Neumann problem in a ball (Equation presented) radial (Equation presented), in B, on ∂B, with 1 < p < q < ∞, we prove continuous dependence on p, for radially nondecreasing solutions. As a byproduct, we obtain an existence result for nonconstant solutions in the case p ∈ (1, 2) and q larger than an explicit threshold.File in questo prodotto:
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