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.
Dalbono, F., Franca, M., Sfecci, A. (2026). A bifurcation phenomenon for the critical Laplace and p-Laplace equation in the ball. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS [10.1016/j.jmaa.2026.130482].
A bifurcation phenomenon for the critical Laplace and p-Laplace equation in the ball
Francesca Dalbono;
2026-01-29
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.
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