Normalized solutions to a Choquard equation involving mixed local and nonlocal operators

Abstract

In the present paper, we study the existence of normalized solutions for a Choquard type equation involving mixed diffusion type operators. We also provide regularity results of these solutions. Next, the equivalence between existence of normalized solutions and the existence of normalized ground states is established.

References in corpus (8)

• Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
• A guide to the Choquard equation
• Existence of groundstates for a class of nonlinear Choquard equations
• The second eigenvalue of the fractional $p-$Laplacian
• Multiple positive normalized solutions for nonlinear Schrödinger systems
• Existence and orbital stability of the ground states with prescribed mass for the L^2-critical and supercritical NLS on bounded domains
• Normalized solutions for Nonlinear Schrödinger systems on bounded domains
• Should I stay or should I go? Zero-size jumps in random walks for Lévy flights

Cited by in corpus (1)

• Existence of positive and sign-changing solutions for a Choquard equation involving mixed local and nonlocal operators