Multiplicity results for non-local elliptic problems with jumping nonlinearity

2020/09/08 by Debangana Mukherjee, Mukherjee, Debangana
Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2009.03601

Abstract

The present paper studies the fractional p-Laplacian boundary value problems with jumping nonlinearities at zero or infinity and obtain the existence of multiple solutions and sign-changing solutions by constructing the suitable pseudo-gradient vector field of the corresponding energy functional.

Citations

• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces

Related

• Nonlocal critical growth elliptic problems with jumping nonlinearities
• Multiple solutions for the fractional p-Laplacian with jumping reactions
• Asymptotic behavior of solutions for nonlinear elliptic problems with the fractional Laplacian
• Bifurcation and multiplicity results for critical fractional p-Laplacian problems
• Nonlocal problems with critical Hardy nonlinearity