Stable Solutions to Some Elliptic Problems: Minimal Cones, the Allen-Cahn Equation, and Blow-Up Solutions

Lecture Notes in Mathematics - Geometry of PDEs and Related Problems ◽

10.1007/978-3-319-95186-7_1 ◽

2018 ◽

pp. 1-45 ◽

Cited By ~ 1

Author(s):

Xavier Cabré ◽

Giorgio Poggesi

Keyword(s):

Blow Up ◽

Elliptic Problems ◽

Cahn Equation ◽

Minimal Cones ◽

Stable Solutions

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Stable solutions of the Allen–Cahn equation in dimension 8 and minimal cones

Journal of Functional Analysis ◽

10.1016/j.jfa.2012.03.010 ◽

2013 ◽

Vol 264 (5) ◽

pp. 1131-1167 ◽

Cited By ~ 16

Author(s):

Frank Pacard ◽

Juncheng Wei

Keyword(s):

Cahn Equation ◽

Minimal Cones ◽

Stable Solutions

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Boundary blow-up elliptic problems with nonlinear gradient terms

Journal of Differential Equations ◽

10.1016/j.jde.2006.02.003 ◽

2006 ◽

Vol 228 (2) ◽

pp. 661-684 ◽

Cited By ~ 29

Author(s):

Zhijun Zhang

Keyword(s):

Blow Up ◽

Elliptic Problems

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Boundary blow-up quasilinear elliptic problems of the Bieberbach type with nonlinear gradient terms

Nonlinear Analysis ◽

10.1016/j.na.2007.10.060 ◽

2008 ◽

Vol 69 (12) ◽

pp. 4380-4391 ◽

Cited By ~ 4

Author(s):

Chunlian Liu ◽

Zuodong Yang

Keyword(s):

Blow Up ◽

Elliptic Problems ◽

Quasilinear Elliptic Problems ◽

Quasilinear Elliptic

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An extreme variation phenomenon for some nonlinear elliptic problems with boundary blow-up

Comptes Rendus Mathematique ◽

10.1016/j.crma.2004.10.005 ◽

2004 ◽

Vol 339 (10) ◽

pp. 689-694 ◽

Cited By ~ 8

Author(s):

Florica-Corina Cîrstea

Keyword(s):

Blow Up ◽

Elliptic Problems ◽

Nonlinear Elliptic Problems ◽

Nonlinear Elliptic ◽

Extreme Variation

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Existence of Blow-up Solutions of Semilinear Elliptic Problems

Differential Equations and Dynamical Systems ◽

10.1007/s12591-013-0162-x ◽

2013 ◽

Vol 22 (1) ◽

pp. 51-72

Author(s):

Nedra Belhaj Rhouma ◽

Amor Drissi

Keyword(s):

Blow Up ◽

Elliptic Problems ◽

Semilinear Elliptic ◽

Semilinear Elliptic Problems

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ESTIMATES AND RIGIDITY FOR STABLE SOLUTIONS TO SOME NONLINEAR ELLIPTIC PROBLEMS

Bulletin of the Australian Mathematical Society ◽

10.1017/s0004972720000702 ◽

2020 ◽

pp. 1-3

Author(s):

PIETRO MIRAGLIO

Keyword(s):

Elliptic Problems ◽

Nonlinear Elliptic Problems ◽

Nonlinear Elliptic ◽

Stable Solutions

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A geometric inequality for stable solutions of semilinear elliptic problems in the Engel group

Annales Academiae Scientiarum Fennicae Mathematica ◽

10.5186/aasfm.2012.3733 ◽

2012 ◽

Vol 37 ◽

pp. 357-373 ◽

Cited By ~ 7

Author(s):

Andrea Pinamonti ◽

Enrico Valdinoci

Keyword(s):

Elliptic Problems ◽

Geometric Inequality ◽

Engel Group ◽

Semilinear Elliptic ◽

Semilinear Elliptic Problems ◽

Stable Solutions

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Boundary blow-up quasilinear elliptic problems with nonlinear gradient terms

Complex Variables and Elliptic Equations ◽

10.1080/17476933.2010.534143 ◽

2012 ◽

Vol 57 (6) ◽

pp. 687-704 ◽

Cited By ~ 2

Author(s):

Chunlian Liu ◽

Zuodong Yang

Keyword(s):

Blow Up ◽

Elliptic Problems ◽

Quasilinear Elliptic Problems ◽

Quasilinear Elliptic

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Blow-up boundary solutions of semilinear elliptic problems

Nonlinear Analysis ◽

10.1016/s0362-546x(00)00202-9 ◽

2002 ◽

Vol 48 (4) ◽

pp. 521-534 ◽

Cited By ~ 32

Author(s):

Florica Şt. Cı̂rstea ◽

Vicentctiu D. Rǎdulescu

Keyword(s):

Blow Up ◽

Elliptic Problems ◽

Semilinear Elliptic ◽

Semilinear Elliptic Problems ◽

Boundary Solutions

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Elliptic problems with a Hardy potential and critical growth in the gradient: Non-resonance and blow-up results

Journal of Differential Equations ◽

10.1016/j.jde.2007.05.010 ◽

2007 ◽

Vol 239 (2) ◽

pp. 386-416 ◽

Cited By ~ 16

Author(s):

Boumediene Abdellaoui ◽

Ireneo Peral ◽

Ana Primo

Keyword(s):

Blow Up ◽

Elliptic Problems ◽

Critical Growth ◽

Hardy Potential

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