A nonsmooth critical point theory approach to some nonlinear elliptic equations in {${\Bbb R}^n$}

By Filippo Gazzola, Vicentiu D. Rădulescu. Differential and Integral Equations, 2000

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We determine nontrivial solutions of some semilinear and quasilinear elliptic problems on Rn; we make use of two different nonsmooth critical point theories which allow to treat two kinds of nonlinear problems. A comparison between the possible applications of the two theories is also made.

Subfields: Geometry and Topology, Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/47393f28420b3082fa5fe1ca0e7af8a102b4026a