Proves Harnack inequality and Hölder continuity for mixed fractional order superposition operators by introducing a nonlocal superposition tail, new even for the linear case p=2.
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math.AP 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Authors prove Caccioppoli inequalities, local boundedness, Hölder continuity, weak Harnack inequalities, and expansion of positivity for weak solutions of mixed fractional superposition operators.
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Harnack inequality for superposition operators of mixed fractional order
Proves Harnack inequality and Hölder continuity for mixed fractional order superposition operators by introducing a nonlocal superposition tail, new even for the linear case p=2.
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Regularity of superposition operators of mixed fractional order
Authors prove Caccioppoli inequalities, local boundedness, Hölder continuity, weak Harnack inequalities, and expansion of positivity for weak solutions of mixed fractional superposition operators.