exterior domain 1fully nonlinear elliptic equations 1gradient superlinear growth 1liouville theorems 1nonexistence results 1pucci operator 1
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math-ph2026
Dual Variational Principles for Curl Forces
Arash Yavari, Amit Acharya
Curl forces are position-dependent, non-conservative, and non-dissipative forces that, in general, cannot be derived from an ordinary potential energy. Consequently, their equation…
math-ph2026
Hamilton-Jacobi as model reduction, extension to Newtonian particle mechanics, and a wave mechanical curiosity
Amit Acharya
The Hamilton-Jacobi equation of classical mechanics is approached as a model reduction of conservative particle mechanics where the velocity degrees-of-freedom are eliminated. This…
math-ph2024
Variational Dual Solutions of Chern-Simons Theory
Amit Acharya, Janusz Ginster, Ambar N. Sengupta
A scheme for generating weakly lower semi-continuous action functionals corresponding to the Euler-Lagrange equations of Chern-Simons theory is described. Coercivity is deduced for…