Partial regularity of weak solutions of the liquid crystal equilibrium system

For a parameter, we consider the modified relaxed energy of the liquid crystal system. Each minimizer of the modified relaxed energy is a weak solution to the liquid crystal equilibrium system. We prove the partial regularity of minimizers of the modified relaxed energy. We also prove the existence of infinitely many weak solutions for the special boundary value x.

Love, that indispensable supplement: Irigaray and Kant on love and respect

Is love essential to ethical life, or merely a supplement? In Kant's view, respect and love, as duties, are in tension with each other because love involves drawing closer and respect involves drawing away. By contrast, Irigaray says that love and respect do not conflict because love as passion must also involve distancing and we have a responsibility to love. I argue that love, understood as passion and based on respect, is essential to ethics