We consider radial positive solutions for a class of quasilinear differential equations ruled by the p -Laplace differential operator with a critical weighted nonlinearity. We show that the problem undergoes a bifurcation phenomenon. We provide a new multiplicity result, even in the classical Laplace case. The proofs use the Fowler transformation and dynamical systems tools.
A bifurcation phenomenon for the critical Laplace and p-Laplace equation in the ball / Dalbono, Francesca; Franca, Matteo; Sfecci, Andrea. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - 559:2(2026), pp. 130482.--130482.-. [10.1016/j.jmaa.2026.130482]
A bifurcation phenomenon for the critical Laplace and p-Laplace equation in the ball
Franca, Matteo;Sfecci, Andrea
2026-01-01
Abstract
We consider radial positive solutions for a class of quasilinear differential equations ruled by the p -Laplace differential operator with a critical weighted nonlinearity. We show that the problem undergoes a bifurcation phenomenon. We provide a new multiplicity result, even in the classical Laplace case. The proofs use the Fowler transformation and dynamical systems tools.Pubblicazioni consigliate
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