Integral Functionals on L^p-Spaces: Infima Over Sublevel Sets

REFERENCES

• P. Drábek ( 2009 ). On a maximum principle for weak solutions of some quasi-linear elliptic equations . Appl. Math. Lett. 22 : 1567 – 1570 .
   Web of Science ®Google Scholar
• P. Drábek and J. Hernández ( 2001 ). Existence and uniqueness of positive solutions for some quasilinear elliptic problems . Nonlinear Anal. 44 : 189 – 204 .
   Web of Science ®Google Scholar
• P. Pucci and J. Serrin ( 1985 ). A mountain pass theorem . J. Differential Equations 60 : 142 – 149 .
   Web of Science ®Google Scholar
• B. Ricceri ( 2000 ). A general variational principle and some of its applications . J. Comput. Appl. Math. 113 : 401 – 410 .
   Web of Science ®Google Scholar
• B. Ricceri , ( 2008 ). Well-posedness of constrained minimization problems via saddle-points . J. Global Optim. 40 : 389 – 397 .
   Web of Science ®Google Scholar
• B. Ricceri ( 2012 ). Fixed points of nonexpansive potential operators in Hilbert spaces . Fixed Point Theory Appl. 123 .
   Web of Science ®Google Scholar
• B. Ricceri ( 2012 ). Another fixed point theorem for nonexpansive potential operators . Studia Math. 211 : 147 – 151 .
   Web of Science ®Google Scholar
• J. L. Vázquez ( 1984 ). A strong maximum principle for some quasilinear elliptic equations . Appl. Math. Optim. 12 : 191 – 202 .
   Web of Science ®Google Scholar