In this book we are concerned with methods of the variational calculus which are directly related to the theory of partial differential equations of elliptic type. The meth- ods which we discuss and describe here go far beyond elliptic equations. In particular, these methods can be applied to
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A nonlinear elliptic equation with singular potential and applications to nonlinear field equations
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In this paper, the author considers semilinear elliptic equations of the form $-\Delta u- \frac{\lambda}{|x|^2}u +b(x)\,h(u)=0$ in $\Omega\setminus\{0\}$, where $\lambda$ is a parameter with $-\infty<\lambda\leq (N-2)^2/4$ and $\Omega$ is an open subset in $\mathbb{R}^N$ with $N\geq 3$ such that $0\