Demonstrates sign-changing solutions in fractional Choquard equations, indicating improved methods for complex potential forms.
We study a class of fractional Choquard equation with continuous potential. This equation is a doubly nonlocal problem which has two nonlocal term: fractional Laplacian operator and convolution term. Using variaotional metheod and some estimates, we give a sign-changing solution with minimal energy for this equation under suitalbe condition. The results extend previous papers on fractional Choquard equation with constant potential and provide a method for general fractional Choquard equations with non-compact potential.
No takes yet. Share an insight, caveat, or question.
Cui et al. (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: