References
- do Nascimento AS. Inner transition layers in a elliptic boundary value problem: a necessary condition. Nonlinear Anal Theory Methods Appl. 2001;44:487–497. doi: https://doi.org/10.1016/S0362-546X(99)00276-X
- do Nascimento AS, Crema J. On the role of the equal-area in internal layer stationary solutions to a class of reaction-diffusion systems. Electron J Differ Equ. 2004;2004(99):1–13.
- do Nascimento AS, Moura RJ. The role of the equal-area condition in internal and superficial layered solutions to some nonlinear boundary value elliptic problem. In: Cazenave T, Costa D, Lopes O, Manásevich R, Rabinowitz P, Ruf B, Tomei C, editors. Progress in nonlinear differential equations and their applications. Vol. 66. Basel: Birkhäuser Verlag; 2006. p.415–427.
- Gonçalves AC. Interfaces in some elliptic nonlinear boundary value problems on Riemannian manifolds: necessary condition and location. J Math Anal Appl. 2013;400:575–584. doi: https://doi.org/10.1016/j.jmaa.2012.12.008
- do Nascimento AS, Moura RJ. Necessity of internal and boundary bulk balance law for existence of interfaces for an elliptic system with nonlinear boundary condition. J Math Anal Appl. 2018;461:993–1008. doi: https://doi.org/10.1016/j.jmaa.2018.01.020
- Hurtado EJ, Sônego M. On the energy functional derived from a non-homogeneous p-Laplacian equation: Γ-convergence, local minimizers and stable transition layers. J Math Anal Appl. 2020;483(2): Article ID 123634. doi: https://doi.org/10.1016/j.jmaa.2019.123634
- Guo ZM, Yan YY. Transition-layer solutions of quasilinear elliptic boundary blow-up problems and dirichlet problems. Acta Math Sinica. 2011;27(11):2177–2190. doi: https://doi.org/10.1007/s10114-011-9327-0
- Fife PC, Greenlee WM. Interior transition layers for elliptic boundary value problems with small parameter. Russian Math Surveys. 1974;29(4):103–131. doi: https://doi.org/10.1070/RM1974v029n04ABEH001291
- Sourdis C. On the profile of globally and locally minimizing solutions of the spatially inhomogeneous Allen-Cahn and Fisher-KPP equation. Adv Nonlinear Stud. 2016;16(1):67–73. doi: https://doi.org/10.1515/ans-2015-5016
- Nedel´ko IV. Existence of solutions with interior transition layers touching the boundary. Math Notes. 2005;77(1):72–83. doi: https://doi.org/10.1007/s11006-005-0007-1
- Shibata T. Interior transition layers of solutions to the perturbed elliptic sine-Gordon equation on an interval. J D'Anal Math. 2001;83:109–120. doi: https://doi.org/10.1007/BF02790258
- Du Y, Guo Z, Zhou F. Boundary blow-up solutions with interior layers and spikes in a bistable problem. Discr Contin Dyn Syst A. 2007;19(2):271–298. doi: https://doi.org/10.3934/dcds.2007.19.271
- Dancer EN, Yan S. Construction of various types of solutions for an elliptic problem. Calc Var Partial Differ Equ. 2004;20(1):93–118. doi: https://doi.org/10.1007/s00526-003-0229-6
- Du Y, Guo ZM. Boundary layer and spike layer solutions for a bistable elliptic problem with generalized boundary conditions. J Differ Equ. 2006;221:102–133. doi: https://doi.org/10.1016/j.jde.2005.08.006
- Zúñiga A, Agudelo O. A two end family of solutions for the inhomogeneous Allen-Cahn equation in R2. J Differ Equ. 2014;256:157–205. doi: https://doi.org/10.1016/j.jde.2013.08.018