On the Fučí k spectrum for the $p$-Laplacian
Copyright policy )On the Fučí k spectrum for the $p$-Laplacian
The structure of the set \(\{(\alpha, \beta) \in \mathbb R^2\): the problem \(-\Delta_p u = \alpha (u^+)^{p-1} - \beta (u^-)^{p-1}\) in \(\Omega\), \(u=0\) on \(\partial\Omega\) has a nontrivial solution\} is studied. See also \textit{N. Dancer} and \textit{K. Perera} [J. Math. Anal. Appl. 254, 164-177 (2001; Zbl 0970.35056)].
- University of Pisa Italy
- Sapienza University of Rome Italy
35P30, Nonlinear boundary value problems for linear elliptic equations, 35J65, 47J10, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, nonlinear elliptic PDE, \(p\)-Laplacian, jumping nonlinearity, 35J60, Fučik spectrum
35P30, Nonlinear boundary value problems for linear elliptic equations, 35J65, 47J10, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, nonlinear elliptic PDE, \(p\)-Laplacian, jumping nonlinearity, 35J60, Fučik spectrum
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).5 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!