Elliptic equations play a central role in the study of steady-state phenomena across physics, engineering and geometry. Their analysis not only provides insights into the qualitative behaviour of ...
The phase flow method, originally introduced in [L. X. Ying and E. J. Candés, J. Comput. Phys., 220 (2006), pp. 184–215], can efficiently solve autonomous ordinary ...
Spectral theory provides a rigorous framework for analysing the eigenvalues and eigenfunctions of differential operators that play an essential role in mathematical physics. In particular, ...
We discuss some Trudinger-Moser inequalities with weighted Sobolev norms. Suitable logarithmic weights in these norms allow an improvement in the maximal growth for integrability when one restricts to ...
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