Inverse problems for fractional semilinear elliptic equations

Nonlinear Analysis ◽

10.1016/j.na.2021.112699 ◽

2022 ◽

Vol 216 ◽

pp. 112699

Author(s):

Ru-Yu Lai ◽

Yi-Hsuan Lin

Keyword(s):

Inverse Problems ◽

Elliptic Equations ◽

Semilinear Elliptic Equations ◽

Semilinear Elliptic

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Partial data inverse problems and simultaneous recovery of boundary and coefficients for semilinear elliptic equations

Revista Matemática Iberoamericana ◽

10.4171/rmi/1242 ◽

2020 ◽

Author(s):

Matti Lassas ◽

Tony Liimatainen ◽

Yi-Hsuan Lin ◽

Mikko Salo

Keyword(s):

Inverse Problems ◽

Elliptic Equations ◽

Semilinear Elliptic Equations ◽

Semilinear Elliptic ◽

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A remark on partial data inverse problems for semilinear elliptic equations

Proceedings of the American Mathematical Society ◽

10.1090/proc/14844 ◽

2019 ◽

Vol 148 (2) ◽

pp. 681-685 ◽

Author(s):

Katya Krupchyk ◽

Gunther Uhlmann

Keyword(s):

Inverse Problems ◽

Elliptic Equations ◽

Semilinear Elliptic Equations ◽

Semilinear Elliptic ◽

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Partial data inverse problems for semilinear elliptic equations with gradient nonlinearities

Mathematical Research Letters ◽

10.4310/mrl.2020.v27.n6.a10 ◽

2020 ◽

Vol 27 (6) ◽

pp. 1801-1824

Author(s):

Katya Krupchyk ◽

Gunther Uhlmann

Keyword(s):

Inverse Problems ◽

Elliptic Equations ◽

Semilinear Elliptic Equations ◽

Semilinear Elliptic ◽

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Some results for semilinear elliptic equations with critical potential

Proceedings of the Royal Society of Edinburgh Section A Mathematics ◽

10.1017/s030821050200001x ◽

2002 ◽

Vol 132 (01) ◽

pp. 1

Keyword(s):

Elliptic Equations ◽

Semilinear Elliptic Equations ◽

Critical Potential ◽

Semilinear Elliptic

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Nontrivial solutions of semilinear elliptic equations with continuous or discontinuous nonlinearities

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1992-1098403-3 ◽

1992 ◽

Vol 116 (2) ◽

pp. 513-513

Author(s):

Noriko Mizoguchi

Keyword(s):

Elliptic Equations ◽

Semilinear Elliptic Equations ◽

Nontrivial Solutions ◽

Discontinuous Nonlinearities ◽

Semilinear Elliptic

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Hopf boundary maximum principle violation for semilinear elliptic equations

Nonlinear Analysis ◽

10.1016/j.na.2009.12.015 ◽

2010 ◽

Vol 72 (7-8) ◽

pp. 3346-3355 ◽

Author(s):

Yavdat Il’yasov ◽

Youri Egorov

Keyword(s):

Maximum Principle ◽

Elliptic Equations ◽

Semilinear Elliptic Equations ◽

Semilinear Elliptic

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Solutions of semilinear elliptic equations with asymptotic linear nonlinearity

Nonlinear Analysis ◽

10.1016/s0362-546x(01)00759-3 ◽

2002 ◽

Vol 50 (2) ◽

pp. 275-283 ◽

Author(s):

Cheng-Hsiung Hsu ◽

Yi-Wen Shih

Keyword(s):

Elliptic Equations ◽

Semilinear Elliptic Equations ◽

Semilinear Elliptic

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Positive solutions to semilinear elliptic equations involving a weighted fractional Lapalacian

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4184 ◽

2016 ◽

Vol 40 (7) ◽

pp. 2596-2609 ◽

Author(s):

De Tang

Keyword(s):

Positive Solutions ◽

Elliptic Equations ◽

Semilinear Elliptic Equations ◽

Semilinear Elliptic

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Symmetry, degeneracy, and universality in semilinear elliptic equations. Infinitesimal symmetry-breaking

Journal of Functional Analysis ◽

10.1016/0022-1236(90)90099-7 ◽

1990 ◽

Vol 89 (2) ◽

pp. 364-409 ◽

Author(s):

Joel Smoller ◽

Arthur Wasserman

Keyword(s):

Symmetry Breaking ◽

Elliptic Equations ◽

Semilinear Elliptic Equations ◽

Semilinear Elliptic ◽

Infinitesimal Symmetry

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Nonexistence Results of Semilinear Elliptic Equations Coupled with the Chern-Simons Gauge Field

Abstract and Applied Analysis ◽

10.1155/2013/467985 ◽

2013 ◽

Vol 2013 ◽

pp. 1-5 ◽

Author(s):

Hyungjin Huh

Keyword(s):

Gauge Field ◽

Elliptic Equations ◽

Semilinear Elliptic Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nontrivial Solutions ◽

Semilinear Elliptic ◽

We discuss the nonexistence of nontrivial solutions for the Chern-Simons-Higgs and Chern-Simons-Schrödinger equations. The Derrick-Pohozaev type identities are derived to prove it.

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