Nonsymmetric solutions for some variational problems

DOI10.1016/S0362-546X(99)00301-6zbMath1057.35057MaRDI QIDQ5935345

Lionel Paumond

Publication date: 16 January 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

solitary wavesminimax methodKadomtsev-Petviashvili equationsnonlinear Euclidean scalar field equationnonradial solutionstraveling wave solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear elliptic equations (35J60) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (1)

Solitary waves for a class of generalized Kadomtsev-Petviashvili equation in \(\mathbb{R}^N\) with positive and zero mass

Cites Work

• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Symétrie et compacité dans les espaces de Sobolev
• Infinitely many nonradial solutions of a Euclidean scalar field equation
• Infinitely many radial solutions of a semilinear elliptic problem on \(\mathbb{R}^ N\)
• Solitary waves of generalized Kadomtsev-Petviashvili equations
• Minimax theorems
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Symmetries and Decay of the Generalized Kadomtsev--Petviashvili Solitary Waves
• Unnamed Item

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