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Partial differential equations (PDEs): Existence and uniqueness, regularity, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDEs, conservation laws, qualitative dynamics.

1 vote

Showing coercivity condition for an energy functional

that is a good idea ! i guess that your conjecture may has a counter-example ! see : http://www.stanford.edu/class/math220b/handouts/calcvar.pdf that is because : $e(f, Q) \ge d ( \|Q\|^2_{W^{1,2} …
everything is energy's user avatar