Qualitative properties of solutions to semilinear elliptic equations from the gravitational Maxwell gauged O(3) sigma model

Chen, Huyuan; Hajaiej, Hichem; Верон, Лаурент

doi:10.1016/j.jfa.2021.109379

Journal of Functional Analysis

2022

DOI: 10.1016/j.jfa.2021.109379

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Qualitative properties of solutions to semilinear elliptic equations from the gravitational Maxwell gauged O(3) sigma model

Huyuan Chen

Hichem Hajaiej

Лаурент Верон

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The existence of solutions for the gravitational Maxwell gauged O(3) model on compact surfaces

Choi

2022

Journal of Mathematical Physics

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We consider an elliptic equation induced from the Maxwell gauged O(3) sigma model coupled with gravity. In particular, we study the main equation as two cases: one is for only string and the other is for anti-string. On the compact surface, we prove the existence of ɛ-dependent solutions for each case by using the super-sub solutions method. Moreover, we find the second solution by using the Leray–Schauder degree theory. Furthermore, we estimate the asymptotic behavior of our solution as ɛ → 0.

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The existence of solutions for the gravitational Maxwell gauged O(3) model on compact surfaces

Choi

2022

Journal of Mathematical Physics

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Qualitative properties of solutions to semilinear elliptic equations from the gravitational Maxwell gauged O(3) sigma model

Cited by 1 publication

References 25 publications

The existence of solutions for the gravitational Maxwell gauged O(3) model on compact surfaces

The existence of solutions for the gravitational Maxwell gauged O(3) model on compact surfaces

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