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Original Articles

Layers With Nonsmooth Interface in a Semilinear Elliptic Problem

Pages 1695-1708 | Published online: 08 May 2007

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Georgia Karali & Christos Sourdis. (2012) Resonance Phenomena in a Singular Perturbation Problem in the Case of Exchange of Stabilities. Communications in Partial Differential Equations 37:9, pages 1620-1667.
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Articles from other publishers (14)

Zhuoran Du. (2022) Locations of interior transition layers to inhomogeneous transition problems in higher -dimensional domains. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, pages 1-20.
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Lipeng Duan, Suting Wei & Jun Yang. (2021) Clustering of boundary interfaces for an inhomogeneous Allen–Cahn equation on a smooth bounded domain. Calculus of Variations and Partial Differential Equations 60:2.
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Suting Wei & Jun Yang. (2020) Connectivity of boundaries by clustering phase transition layers of Fife-Greenlee problem on smooth bounded domain. Journal of Differential Equations 269:3, pages 1745-1795.
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Xu-Qian Fan, Bin Xu & Jun Yang. (2019) Phase transition layers with boundary intersection for an inhomogeneous Allen–Cahn equation. Journal of Differential Equations 266:9, pages 5821-5866.
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Christos Sourdis. (2016) On the Profile of Globally and Locally Minimizing Solutions of the Spatially Inhomogeneous Allen–Cahn and Fisher–KPP Equations. Advanced Nonlinear Studies 16:1, pages 67-73.
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Georgia Karali & Christos Sourdis. (2015) The Ground State of a Gross–Pitaevskii Energy with General Potential in the Thomas–Fermi Limit. Archive for Rational Mechanics and Analysis 217:2, pages 439-523.
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Jun Yang & Xiaolin Yang. (2012) Clustered interior phase transition layers for an inhomogeneous Allen-Cahn equation in higher dimensional domains. Communications on Pure and Applied Analysis 12:1, pages 303-340.
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Jun Yang. (2011) Coexistence phenomenon of concentration and transition of an inhomogeneous phase transition model on surfaces. Discrete & Continuous Dynamical Systems - A 30:3, pages 965-994.
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Juncheng Wei & Jun Yang. (2009) Solutions with transition layer and spike in an inhomogeneous phase transition model. Journal of Differential Equations 246:9, pages 3642-3667.
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Andrea Malchiodi, Juncheng Wei & Fethi Mahmoudi. (2008) Transition layer for the heterogeneous Allen–Cahn equation. Annales de l'Institut Henri Poincaré C, Analyse non linéaire 25:3, pages 609-631.
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Manuel del Pino, Michał Kowalczyk & Juncheng Wei. (2007) Resonance and Interior Layers in an Inhomogeneous Phase Transition Model. SIAM Journal on Mathematical Analysis 38:5, pages 1542-1564.
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Илья Витальевич Неделько & Ilja Vitaljevich Nedelko. (2005) Существование решений с внутренними слоями, выходящими на границуExistence of solutions with interior transition layers touching the boundary. Математические заметки Matematicheskie Zametki 77:1, pages 80-92.
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Arnaldo Simal do Nascimento. (2003) Stable transition layers in a semilinear diffusion equation with spatial inhomogeneities in N-dimensional domains. Journal of Differential Equations 190:1, pages 16-38.
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Manuel A. del Pino. (1995) Radially symmetric internal layers in a semilinear elliptic system. Transactions of the American Mathematical Society 347:12, pages 4807-4837.
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