The recent progress on Allen-Cahn equation, Liouville equation and critical exponent equation
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Organizer(s): |
Name:
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Affiliation:
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Country:
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Changfeng Gui
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University of Macau
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Macau
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Wen Yang
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Innovation Academy for Precision Measurement Science and Technology
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Peoples Rep of China
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Yeyao Hu
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Central South University
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Peoples Rep of China
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Introduction:
| | The Allen-Cahn equation, Liouville equation and the critical exponent equation are of paramount significance in the fields of differential geometry and mathematical physics, boasting strong connections to various other mathematical branches. This session primarily focuses on the recent progress on these equations. These advancements encompass aspects like investigating the existence, symmetry, and monotonic behavior of solutions, classifying the finite Morse index solutions, and exploring the blow-up phenomena in both elliptic and parabolic problems.
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