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Variational methods form a foundational approach to the study of differential equations by reformulating them as optimisation problems. Rather than seeking classical solutions of partial differential ...
Sharp regularity results for minimisers of double phase functionals with variable exponents have been extended beyond the constant exponent case. Under mild continuity assumptions on the exponent ...
Calculus to the level of ODEs, partial derivative and multiple integrals, some knowledge of PDEs helpful but not essential. Students should have a certain comfort level with dealing with advanced ...