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Results tagged with ap.analysis-of-pdes
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user 81216
Partial differential equations (PDEs): Existence and uniqueness, regularity, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDEs, conservation laws, qualitative dynamics.
3
votes
Trick in a inequality of a paper of free boundary problem that involves the p-laplacian with...
I agree with the doubt: since $p<2$ you have that $g(t)= |t|^{p-2}$ is decreasing, hence from $|\nabla u| + |\nabla v| \geq \sqrt{|\nabla u|^2 + |\nabla v|^2}$ you deduce $(|\nabla u| + |\nabla v|)^{p …
3
votes
Space of p-harmonic functions
IN $d=2$ p-harmonic functions are more regular the the usual normal $C^{1,\alpha}$ regularity (see Iwaniec-Manfredi, Rev Mat Iberoamericana 1989) and have additional nice geometric properties such as …