A Lie symmetry analysis and explicit solutions of the two‐dimensional ∞‐Polylaplacian

DOI10.1111/sapm.12232zbMath1420.35401OpenAlexW2892087571WikidataQ63377634 ScholiaQ63377634MaRDI QIDQ4967119

Tristan Pryer, Georgios Papamikos

Publication date: 2 July 2019

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://centaur.reading.ac.uk/79792/1/SAM-revision.pdf

zbMATH Keywords

variational calculusinvariant solutionsLie symmetries\(\infty\)-polylaplacianfully nonliniear partial differential equations

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Applications of Lie (super)algebras to physics, etc. (17B81) PDEs in connection with mechanics of deformable solids (35Q74) Traveling wave solutions (35C07)

Related Items (6)

Soliton solutions to the time-dependent coupled KdV-Burgers' equation ⋮ Singular solutions of the r-Camassa–Holm equation ⋮ A minimisation problem in L^∞ with PDE and unilateral constraints ⋮ The r-Hunter–Saxton equation, smooth and singular solutions and their approximation ⋮ Vectorial variational principles in \(L^\infty\) and their characterisation through PDE systems ⋮ Inverse Optical Tomography through PDE Constrained Optimization $L^\infty$

Uses Software

• SYMMGRP
• SYM

Cites Work

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