Silvia Frassu, Antonio Iannizzotto
Published 2022-12-21Version 1
We study a Dirichlet problem driven by the degenerate fractional p-Laplacian and involving a nonlinear reaction, which depends on a positive parameter. The reaction is assumed to be (p-1)-sublinear near the origin and (p-1)-superlinear at infinity (including the concave-convex case). Following a variational approach based on a combination of critical point theory and suitable truncation techniques, we prove a bifurcation-type result for the existence of positive solutions.
Multiple solutions for superlinear fractional $p$-Laplacian equations
Extremal constant sign solutions and nodal solutions for the fractional p-Laplacian
On a doubly sublinear fractional $p$-Laplacian equation
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