Linking over cones and nontrivial solutions for p-Laplace equations with p-superlinear nonlinearity

By Marco Degiovanni, Sergio Lancelotti. 2007

98 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/9371a2abf63b21798b382bbc3993946dfd71d5a4

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In Applied Mathematics

Citations in the corpus

(N,q)‐Laplacian problems with critical Trudinger‐Moser nonlinearities (2014, methodology): “By Degiovanni and Lancelotti [12, Theorem 2.3], the sublevel set Ψλk(N) has a compact symmetric subset C of index k that is bounded in C1(Ω).”
On ground states of superlinear p-Laplacian equations in RN (2010, background): “On the other hand, the quasilinear case is usually considered on a bounded domain, the reader may find some results in this direction in [4, 7 ,9,21,24].”
On superlinear problems without the Ambrosetti and Rabinowitz condition (2010, background): “Since the seminal work of Ambrosetti and Rabinowitz [1], such superlinear elliptic boundary value problem has been studied by many authors, see for instance [7, 8, 9, 15, 19, 23].”
The Brezis–Nirenberg problem for the fractional p-Laplacian (2015, methodology): “A similar construction based on the notion of cohomological linking was given in Degiovanni and Lancelotti [14].”
Morse Theoretic Aspects of $p$-Laplacian Type Operators (2010, background): “Then (14) still holds if r is sufficiently small (see Degiovanni, Lancelotti, and Perera [42]), so Φ has a cohomological local splitting near zero in dimension k in the sense of the following definition given in Section 3.11.”
Infinitely many solutions of some nonlinear variational equations (2009, result): “At are bounded with respect to t, while other results for related problems can be found also in [ 13 ,19].”
Linking solutions for p-Laplace equations with nonlinearity at critical growth (2009, methodology): “16 MARCO DEGIOVANNI AND SERGIO LANCELOTTI for some b > 0 (see also [7]).”