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Asymmetric positive solutions for a symmetric nonlinear problem in \(\mathbb{R}^N\)

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Publication:1584535
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DOI10.1007/S005260000039zbMath0968.35043MaRDI QIDQ1584535

José Luis Gámez, Silvia Cingolani

Publication date: 5 November 2000

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)


zbMATH Keywords

nonlinear opticsmountain-pass solutionasymmetric solution


Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for second-order elliptic equations (35J20)


Related Items (4)

Existence of positive multi-peaked solutions to a nonlinear Schrödinger equation arising in nonlinear optics ⋮ Uniqueness and stability of ground states for some nonlinear Schrödinger equations ⋮ On exterior Neumann problems with an asymptotically linear nonlinearity ⋮ Multiplicity of asymmetric solutions for nonlinear elliptic problems







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