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On the existence and profile of multi-peaked solutions to singularly perturbed semilinear Dirichlet problems
1. | Wuhan Institute of Mathematical Sciences, Wuhan, China |
2. | University of Sydeny, NSW 2006, Australia |
3. | School of Mathematics, The University of New South Wales, Sydney 2052, Australia |
4. | South China University of Technology, Guangzhou 510641, China |
[1] |
Rafał Kamocki, Marek Majewski. On the continuous dependence of solutions to a fractional Dirichlet problem. The case of saddle points. Discrete and Continuous Dynamical Systems - B, 2014, 19 (8) : 2557-2568. doi: 10.3934/dcdsb.2014.19.2557 |
[2] |
Giuseppe Maria Coclite, Mario Michele Coclite. On a Dirichlet problem in bounded domains with singular nonlinearity. Discrete and Continuous Dynamical Systems, 2013, 33 (11&12) : 4923-4944. doi: 10.3934/dcds.2013.33.4923 |
[3] |
E. N. Dancer, Danielle Hilhorst, Shusen Yan. Peak solutions for the Dirichlet problem of an elliptic system. Discrete and Continuous Dynamical Systems, 2009, 24 (3) : 731-761. doi: 10.3934/dcds.2009.24.731 |
[4] |
Uriel Kaufmann, Humberto Ramos Quoirin, Kenichiro Umezu. A curve of positive solutions for an indefinite sublinear Dirichlet problem. Discrete and Continuous Dynamical Systems, 2020, 40 (2) : 817-845. doi: 10.3934/dcds.2020063 |
[5] |
Luisa Moschini, Guillermo Reyes, Alberto Tesei. Nonuniqueness of solutions to semilinear parabolic equations with singular coefficients. Communications on Pure and Applied Analysis, 2006, 5 (1) : 155-179. doi: 10.3934/cpaa.2006.5.155 |
[6] |
Shota Sato, Eiji Yanagida. Asymptotic behavior of singular solutions for a semilinear parabolic equation. Discrete and Continuous Dynamical Systems, 2012, 32 (11) : 4027-4043. doi: 10.3934/dcds.2012.32.4027 |
[7] |
Yinuo Wang, Chuandong Li, Hongjuan Wu, Hao Deng. Existence of solutions for fractional instantaneous and non-instantaneous impulsive differential equations with perturbation and Dirichlet boundary value. Discrete and Continuous Dynamical Systems - S, 2022, 15 (7) : 1767-1776. doi: 10.3934/dcdss.2022005 |
[8] |
Han Yang. A singular perturbed problem for semilinear wave equations with small parameter. Discrete and Continuous Dynamical Systems, 1999, 5 (3) : 473-488. doi: 10.3934/dcds.1999.5.473 |
[9] |
V. V. Motreanu. Multiplicity of solutions for variable exponent Dirichlet problem with concave term. Discrete and Continuous Dynamical Systems - S, 2012, 5 (4) : 845-855. doi: 10.3934/dcdss.2012.5.845 |
[10] |
Shota Sato, Eiji Yanagida. Singular backward self-similar solutions of a semilinear parabolic equation. Discrete and Continuous Dynamical Systems - S, 2011, 4 (4) : 897-906. doi: 10.3934/dcdss.2011.4.897 |
[11] |
Eduard Marušić-Paloka, Igor Pažanin. Homogenization and singular perturbation in porous media. Communications on Pure and Applied Analysis, 2021, 20 (2) : 533-545. doi: 10.3934/cpaa.2020279 |
[12] |
Gabriella Pinzari. Global Kolmogorov tori in the planetary $\boldsymbol N$-body problem. Announcement of result. Electronic Research Announcements, 2015, 22: 55-75. doi: 10.3934/era.2015.22.55 |
[13] |
Hernan R. Henriquez. Generalized solutions for the abstract singular Cauchy problem. Communications on Pure and Applied Analysis, 2009, 8 (3) : 955-976. doi: 10.3934/cpaa.2009.8.955 |
[14] |
Isabel Flores. Singular solutions of the Brezis-Nirenberg problem in a ball. Communications on Pure and Applied Analysis, 2009, 8 (2) : 673-682. doi: 10.3934/cpaa.2009.8.673 |
[15] |
Yang Cao, Jingxue Yin. Small perturbation of a semilinear pseudo-parabolic equation. Discrete and Continuous Dynamical Systems, 2016, 36 (2) : 631-642. doi: 10.3934/dcds.2016.36.631 |
[16] |
Juliana Fernandes, Liliane Maia. Blow-up and bounded solutions for a semilinear parabolic problem in a saturable medium. Discrete and Continuous Dynamical Systems, 2021, 41 (3) : 1297-1318. doi: 10.3934/dcds.2020318 |
[17] |
Akisato Kubo. Asymptotic behavior of solutions of the mixed problem for semilinear hyperbolic equations. Communications on Pure and Applied Analysis, 2004, 3 (1) : 59-74. doi: 10.3934/cpaa.2004.3.59 |
[18] |
Haitao Yang. On the existence and asymptotic behavior of large solutions for a semilinear elliptic problem in $R^n$. Communications on Pure and Applied Analysis, 2005, 4 (1) : 187-198. doi: 10.3934/cpaa.2005.4.197 |
[19] |
Zhongyuan Liu. Nodal Bubble-Tower Solutions for a semilinear elliptic problem with competing powers. Discrete and Continuous Dynamical Systems, 2017, 37 (10) : 5299-5317. doi: 10.3934/dcds.2017230 |
[20] |
Yingying Li, Ying Fu, Changzheng Qu. The two-component $ \mu $-Camassa–Holm system with peaked solutions. Discrete and Continuous Dynamical Systems, 2020, 40 (10) : 5929-5954. doi: 10.3934/dcds.2020253 |
2020 Impact Factor: 1.392
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