Linking solutions for p-Laplace equations with nonlinearity at critical growth |
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| Authors: | Marco Degiovanni Sergio Lancelotti |
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| Institution: | a Dipartimento di Matematica e Fisica, Università Cattolica del Sacro Cuore, Via dei Musei 41, 25121 Brescia, Italy
b Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy |
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| Abstract: | Under a suitable condition on n and p, the quasilinear equation at critical growth −Δpu=λ|u|p−2u+|u|p∗−2u is shown to admit a nontrivial weak solution  for any λ?λ1. Nonstandard linking structures, for the associated functional, are recognized. |
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| Keywords: | p-Laplace equations Critical growth Nontrivial solutions Linking structures |
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