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C-integrable nonlinear PDEs. IV
Journal of Physics A: Mathematical and General, 1991A technique to perform a convenient Change of (independent) variables in a PDE is reported, and it is used to generate C-integrable nonlinear PDEs, i.e., nonlinear PDEs solvable by an appropriate Change of variables. Several examples of such PDEs are exhibited.
CALOGERO, Francesco, XIAODA JI
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Elliptic PDEs with Fibered Nonlinearities
Journal of Geometric Analysis, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
O. Savin, E. Valdinoci
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In Section 2.6 the reader encountered the Korteweg-deVries (KdV) equation which has been successfully used to describe the propagation of solitons in various physical contexts, the most historically famous being for shallow water waves in a rectangular canal.
Richard H. Enns, George McGuire
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Nonlinear Potential Theory and PDEs
Potential Analysis, 1994The author considers a class of equations similar to \((*)\) \(-\text{div}(|\nabla u|^{p- 2} \nabla u)= \mu\), where \(\mu\) is a nonnegative Radon measure and \(1< p< \infty\). The main topics discussed are the relation between \(p\)-superharmonic functions and distributional solutions of \((*)\), and the Wiener criterion for the regularity of ...
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