Construction of some classes of nonlinear PDE’s admitting soliton solutions

DOI10.4064/dm752-7-2016zbMath1373.35069OpenAlexW2623496801MaRDI QIDQ5348064

Abdelghani Ouahab, Abdelkader Dellal, Johnny Henderson

Publication date: 11 August 2017

Published in: Dissertationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/dm752-7-2016

zbMATH Keywords

topological chargecritical point theory\(p\)-Laplacian operatorsplitting lemmaLebesgue and Sobolev spaces with variable exponentDerrick's problemsymmetry and compactness

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60) Degree theory for nonlinear operators (47H11) Variational methods for elliptic systems (35J50) Soliton equations (35Q51) Weak solutions to PDEs (35D30) Higher-order elliptic equations (35J30) Variational methods for higher-order elliptic equations (35J35) Traveling wave solutions (35C07) Soliton solutions (35C08) Euler equations (35Q31)

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