Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Monotonicity-based inversion of fractional semilinear elliptic equations
  with power type nonlinearities   We investigate the monotonicity method for fractional semilinear elliptic
equations with power type nonlinearities. We prove that if-and-only-if
monotonicity relations between coefficients and the derivative of the
Dirichlet-to-Neumann map hold. Based on the strong monotonicity relations, we
study a constructive global uniqueness for coefficients and inclusion detection
for the fractional Calder\'on type inverse problem. Meanwhile, we can also
derive the Lipschitz stability with finitely many measurements. The results
hold for any $n\geq 1$.

12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom