Regularity for solutions of partial differential equations with irregular coefficients

id="offer-description" class="ecl-u-type-heading-2 ecl-u-mt-none ecl-u-mb-l">Offer Description The research program analyzes how the regularity of coefficients affects the integrability and higher differentiability of solutions to nonlinear elliptic equations in divergence form, identifying quantitative estimates for higher-order gradient regularity even with discontinuous spatial dependence (Sobolev or Besov spaces). Starting from standard growth equations and local gradient estimates, the study will address non-standard growth problems and parabolic equations, identifying minimal regularity assumptions on the coefficients and providing examples and counterexamples. Scientific supervisor: Prof. Antonia Passarelli di Napoli (Project "000022_BUDGET_ECONOMICO_RICERCA_2026"). Where to apply Website https://pica.cineca.it/unina/ . Requirements. Additional Information . Eligibility criteria. Requirement: PhD degree or equivalent foreign qualification. Evaluation (max 100 points, minimum passing score 60/100): a) relevance of previous research activities, work experience, and other qualifications (up to 30 points); b) quality, originality, innovation, and relevance of attached publications, max 5 (up to 40 points); c) interview assessing research suitability and English language proficiency (up to 30 points). Minimum score in a) and b) to be admitted to the interview: 35/70. Eligible destination country/ies for fellows: . Italy. Eligibility of fellows: country/ies of residence: . E