How do the romantic obsessions of other characters you have studied compare to Edna's romantic relationships in The Awakening?

This is an interesting question, because, in a sense, Edna
in this brilliant novel is more obsessed by her own desire to be free and to escape the
narrow restrictions that society have placed upon her than she is obsessed by her lover.
This is a novel that is more about an "awakening" of one woman and her desire to be able
to express herself as she chooses than it is about love or any particular relationship.
Note how this is expressed through an act of defiance against her husband in Chapter 11
of this novel. Having experienced her first climactic swim in the sea, Edna finds that
she does not want to submit and obey her husband as she has done so often
before:

She
perceived that her will had blazed up, stubborn and resistant. She could not at that
moment have done other than denied and resisted. She wondered if her husband had ever
spoken to her like that before, and if she had submitted to his command. Of course she
had; she remembered that she had. But she could not realize why or how she should have
yielded, feeling as she then
did.

Thus we can see that
this novel is more about Edna's obsession to be her own person, free from the
restrictions that society have placed upon her, rather than anything
else.

In terms of other texts that would be suitable for
comparison, certainly A Doll's House would be an excellent example
of one woman who discovers the way that her marriage and the roles that society has
forced upon her have made her not be true to herself. Nora's defiant abandonment of both
her marriage and her children can be paralleled to Edna's rejection of similar societal
expectations. In addition, you might want to think about The House on Mango
Street, which presents us with a more contemporary strong female figure that
is determiend to not follow the path that is expected of her and get married young and
have children. Esperanza could thus be viewed as a literary descendant of such
characters as Nora and Edna in her determination to not let her gender alone determine
the outcome of her life.