Currently in my Mac I have these JAVA versions:
MyMac$ cd /Library/Java/JavaVirtualMachines
$ ls -la
total 0
drwxr-xr-x 4 root wheel
Steps that worked on macOS Catalina 10.15.2 and RStudio 1.2.5036
https://www.oracle.com/technetwork/java/javase/downloads/java-archive-javase11-5116896.html
You probably need to run the command below, but RStudio seems not acknowledge the settings:
sudo R CMD javareconf
remove.packages("rJava")
install.packages("rJava", type="source", repos="http://cran.rstudio.com")
Installing rJava from source seems to run a different configuration setup that will look for Java and it will display "checking Java support in R" as part of the output that seems accepted by RStudio.
This change to .Rprofile may also be necessary:
options(java.home="/Library/Java/JavaVirtualMachines/jdk-11.0.1.jdk/Contents/Home")
Sys.setenv(DYLD_FALLBACK_LIBRARY_PATH="/Library/Java/JavaVirtualMachines/jdk-11.0.1.jdk/Contents/Home/lib/server/")