[date] How to compare LocalDate instances Java 8

I am writing an app that needs to be quite accurate in dates and I wonder how can I compare LocalDate instances.. for now I was using something like:

LocalDate localdate1 = LocalDate().now();
LocalDate localdate2 = someService.getSomeDate();
localdate1.equals(localdate2);

But I noticed that my app is giving me some confusing results, and I think it is because of the date comparing.

I am thinking about obtaining the time from 1970' in long and compare those two, but I must be easier, I am sure of it

I believe this snippet will also be helpful in a situation where the dates comparison spans more than two entries.

static final int COMPARE_EARLIEST = 0;

static final int COMPARE_MOST_RECENT = 1;


public LocalDate getTargetDate(List<LocalDate> datesList, int comparatorType) { 
   LocalDate refDate = null;
   switch(comparatorType)
   {
       case COMPARE_EARLIEST:         
       //returns the most earliest of the date entries
          refDate = (LocalDate) datesList.stream().min(Comparator.comparing(item -> 
                      item.toDateTimeAtCurrentTime())).get();
          break;

       case COMPARE_MOST_RECENT:
          //returns the most recent of the date entries 
          refDate = (LocalDate) datesList.stream().max(Comparator.comparing(item -> 
                    item.toDateTimeAtCurrentTime())).get();
          break;
   }

   return refDate;
}

LocalDate ld ....;
LocalDateTime ldtime ...;

ld.isEqual(LocalDate.from(ldtime));