Index: dolfinx/cpp/dolfinx/CMakeLists.txt
===================================================================
--- dolfinx.orig/cpp/dolfinx/CMakeLists.txt	2021-01-31 13:21:50.986274042 +0100
+++ dolfinx/cpp/dolfinx/CMakeLists.txt	2021-01-31 13:21:50.986274042 +0100
@@ -13,6 +13,13 @@
 
 add_library(dolfinx "")  # The "" is needed for older CMake. Remove later.
 
+if(PETSC_SCALAR_COMPLEX)
+  set(LIB_NAME_EXT "_complex")
+else()
+  set(LIB_NAME_EXT "_real")
+endif()
+set_target_properties(dolfinx PROPERTIES OUTPUT_NAME "dolfinx${LIB_NAME_EXT}")
+
 #------------------------------------------------------------------------------
 # Add source files to the target
 
@@ -279,8 +286,8 @@
 get_target_property(BOOST_INCLUDE_DIR Boost::headers INTERFACE_INCLUDE_DIRECTORIES)
 
 # Configure and install pkg-config file
-configure_file(${DOLFINX_SOURCE_DIR}/cmake/templates/dolfinx.pc.in ${CMAKE_BINARY_DIR}/dolfinx.pc @ONLY)
-install(FILES ${CMAKE_BINARY_DIR}/dolfinx.pc
+configure_file(${DOLFINX_SOURCE_DIR}/cmake/templates/dolfinx.pc.in ${CMAKE_BINARY_DIR}/dolfinx${LIB_NAME_EXT}.pc @ONLY)
+install(FILES ${CMAKE_BINARY_DIR}/dolfinx${LIB_NAME_EXT}.pc
   DESTINATION ${CMAKE_INSTALL_LIBDIR}/pkgconfig
   COMPONENT Development
   )
Index: dolfinx/cpp/cmake/templates/dolfinx.pc.in
===================================================================
--- dolfinx.orig/cpp/cmake/templates/dolfinx.pc.in	2021-01-31 13:21:50.986274042 +0100
+++ dolfinx/cpp/cmake/templates/dolfinx.pc.in	2021-01-31 13:21:50.986274042 +0100
@@ -12,5 +12,5 @@
 Version: @DOLFINX_VERSION@
 Requires: @PKG_REQUIRES@
 Conflicts:
-Libs: @PKG_LINKFLAGS@ -L${libdir} -ldolfinx
+Libs: @PKG_LINKFLAGS@ -L${libdir} -ldolfinx@LIB_NAME_EXT@
 Cflags: @PKG_CXXFLAGS@ -DDOLFINX_VERSION=\"@DOLFINX_VERSION@\" ${definitions} -I${includedir} @PKG_INCLUDES@
Index: dolfinx/python/dolfinx/jit.py
===================================================================
--- dolfinx.orig/python/dolfinx/jit.py	2021-01-31 13:21:50.986274042 +0100
+++ dolfinx/python/dolfinx/jit.py	2021-01-31 13:21:50.986274042 +0100
@@ -21,8 +21,9 @@
 
 __all__ = ["ffcx_jit", "get_parameters"]
 
-if dolfinx.pkgconfig.exists("dolfinx"):
-    dolfinx_pc = dolfinx.pkgconfig.parse("dolfinx")
+dolfinx_pc = "dolfinx_complex" if common.has_petsc_complex else "dolfinx_real"
+if dolfinx.pkgconfig.exists(dolfinx_pc):
+    dolfinx_pc = dolfinx.pkgconfig.parse(dolfinx_pc)
 else:
     raise RuntimeError("Could not find DOLFINX pkg-config file. Make sure appropriate paths are set.")