diff --git a/sphinxcontrib/phpdomain.py b/sphinxcontrib/phpdomain.py
index 068f98b..a4482a1 100644
--- a/sphinxcontrib/phpdomain.py
+++ b/sphinxcontrib/phpdomain.py
@@ -53,12 +53,10 @@ def log_assert(
 php_sig_re = re.compile(
     r'''^ (public\ |protected\ |private\ )? # visibility
           (final\ |abstract\ |static\ )?    # modifiers
-          ([\w\\]+\:\:)?                    # class name(s)
-          (\$?[\w\\]+)  \s*                 # thing name
-          (?:
-              \((.*)\)                      # optional: arguments
-              (?:\s* -> \s* (.*))?          # return annotation
-          )?
+          ([\w.]*\:\:)?                     # class name(s)
+          (\$?\w+)  \s*                     # thing name
+          (?: \((.*)\)                      # optional: arguments
+          (?:\s* -> \s* (.*))?)?            # return annotation
           (?:\s* : \s* (.*))?               # backed enum type / case value
           $                                 # and nothing more
           ''', re.VERBOSE)
@@ -200,13 +198,13 @@ def handle_signature(self, sig, signode):
         # determine module and class name (if applicable), as well as full name
         modname = self.options.get(
             'namespace', self.env.temp_data.get('php:namespace'))
+
+        classname = self.env.temp_data.get('php:class')
         separator = separators[self.objtype]
 
-        if '::' in name_prefix:
+        # Method declared as Class::methodName
+        if not classname and '::' in name_prefix:
             classname = name_prefix.rstrip('::')
-        else:
-            classname = self.env.temp_data.get('php:class')
-
         if self.objtype == 'global' or self.objtype == 'function':
             add_module = False
             modname = None
@@ -580,9 +578,6 @@ def process_link(self, env, refnode, has_explicit_title, title, target):
                 if m:
                     title = m.group(1)
 
-            if title.startswith(NS):
-                title = title[1:]
-
         refnode['php:namespace'] = env.temp_data.get('php:namespace')
         refnode['php:class'] = env.temp_data.get('php:class')
 
@@ -784,20 +779,14 @@ def find_obj(self, env, fromdocnode, modname, classname, name, type, searchorder
         if name[-2:] == '()':
             name = name[:-2]
 
-        objects = self.data['objects']
+        if not name:
+            return None, None
 
-        if name.startswith(NS):
-            absname = name[1:]
-        else:
-            absname = (modname + NS if modname else "") \
-                + (classname + NS if classname and '::' not in name else "") \
-                + name
+        objects = self.data['objects']
 
         newname = None
         if searchorder == 1:
-            if absname in objects:
-                newname = absname
-            elif modname and classname and \
+            if modname and classname and \
                      modname + NS + classname + '::' + name in objects:
                 newname = modname + NS + classname + '::' + name
             elif modname and modname + NS + name in objects:
@@ -811,9 +800,7 @@ def find_obj(self, env, fromdocnode, modname, classname, name, type, searchorder
             elif name in objects:
                 newname = name
         else:
-            if absname in objects:
-                newname = absname
-            elif name in objects:
+            if name in objects:
                 newname = name
             elif classname and classname + '::' + name in objects:
                 newname = classname + '::' + name