Positive solutions of semilinear elliptic problems in unbounded domains with unbounded boundary

DOI10.1016/J.ANIHPC.2005.09.007zbMath1123.35017OpenAlexW2048303739MaRDI QIDQ877002

Donato Passaseo, Giovanna Cerami, Riccardo Molle

Publication date: 19 April 2007

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_2007__24_1_41_0

zbMATH Keywords

unbounded domainsnonlinear elliptic problemsunbounded boundary

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20)

Related Items (5)

Positive solutions for asymptotically linear problems in exterior domains ⋮ Multiple positive solutions for semilinear Dirichlet problems with sign-changing weight function in infinite strip domains ⋮ Sign-changing solutions to a partially periodic nonlinear Schrödinger equation in domains with unbounded boundary ⋮ Positive solutions for autonomous and non-autonomous nonlinear critical elliptic problems in unbounded domains ⋮ Positive solutions for some Schrödinger equations having partially periodic potentials

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