Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Renormalized solutions of semilinear elliptic equations with general
  measure data   In the paper, we first propose a definition of renormalized solution of
semilinear elliptic equation involving operator corresponding to a general
(possibly nonlocal) symmetric regular Dirichlet form satisfying the so-called
absolute continuity condition and general (possibly nonsmooth) measure data.
Then we analyze the relationship between our definition and other concepts of
solutions considered in the literature (probabilistic solutions, solution
defined via the resolvent kernel of the underlying Dirichlet form,
Stampacchia's definition by duality). We show that under mild integrability
assumption on the data all these concepts coincide.

5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics