The easiest solution would be to check a status of a core
http://localhost:8983/solr/admin/cores?action=STATUS&core=core0
Where core0 - name of the core
If core doesn't exist you will get
<response>
<lst name="responseHeader">
<int name="status">0</int>
<int name="QTime">0</int></lst>
<lst name="initFailures"/>
<lst name="status"><lst name="core0"/></lst>
</response>
If core exists, you will get more info (just an example)
<response>
<lst name="responseHeader">
<int name="status">0</int>
<int name="QTime">8</int>
</lst>
<lst name="initFailures" />
<lst name="status">
<lst name="core0">
<str name="name">core0</str>
<str name="instanceDir">/var/lib/solr/core0</str>
<str name="dataDir">/var/lib/solr/core0/data/</str>
<str name="config">solrconfig.xml</str>
<str name="schema">schema.xml</str>
<date name="startTime">2016-11-11T15:31:38.250Z</date>
<long name="uptime">324812972</long>
<lst name="index">
<int name="numDocs">6954</int>
<int name="maxDoc">6954</int>
<int name="deletedDocs">0</int>
<long name="indexHeapUsageBytes">-1</long>
<long name="version">12</long>
<int name="segmentCount">1</int>
<bool name="current">true</bool>
<bool name="hasDeletions">false</bool>
<str name="directory">org.apache.lucene.store.NRTCachingDirectory:NRTCachingDirectory(MMapDirectory@/var/lib/solr/feature/data/index lockFactory=org.apache.lucene.store.NativeFSLockFactory@a77f582; maxCacheMB=48.0 maxMergeSizeMB=4.0)</str>
<str name="segmentsFile">segments_3</str>
<long name="segmentsFileSizeInBytes">165</long>
<lst name="userData">
<str name="commitTimeMSec">1478791558730</str>
</lst>
<date name="lastModified">2016-11-10T15:25:58.730Z</date>
<long name="sizeInBytes">2605023</long>
<str name="size">2.48 MB</str>
</lst>
</lst>
</lst>
</response>