Nontrivial Solutions for p-Laplace Equations with Right-Hand Side Having p-Linear Growth at Infinity

By Silvia Cingolani, Marco Degiovanni. 2005

128 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/66da87ff13a414a8fabafce5d24f2fb2292d2614

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Vicentiu D. Rădulescu
2. Nikolaos S. Papageorgiou
3. Leszek Gasinski
4. Kanishka Perera
5. Sunra Mosconi
6. Patrick Winkert
7. Ravi P. Agarwal
8. Donal O'Regan

In Computational Theory and Mathematics

1. Nikolaos S. Papageorgiou
2. Vicentiu D. Rădulescu
3. Leszek Gasinski
4. Patrick Winkert
5. Sergio Lancelotti
6. Marco Degiovanni
7. Sunra Mosconi
8. Kanishka Perera

Citations in the corpus

• Wang’s multiplicity result for superlinear (,)–equations without the Ambrosetti–Rabinowitz condition (2013, unknown): “Recently, (p, q)– equations were studied by Cingolani–Degiovanni [5], Figueiredo [7], Li–Guo [13] and Medeiros–Perera [18].”
• Multiple Solutions for Nonlinear Coercive Problems with a Nonhomogeneous Differential Operator and a Nonsmooth Potential (2012, background): “Problems with such potentials were studied recently by Cingolani-Degiovanni [7], Figueiredo [13], Medeiros-Perera [29].”
• Linking solutions for p-Laplace equations with nonlinearity at critical growth (2009, result): “LINKING SOLUTIONS 5 In order to state our results in the line of (b), let us set, according to [6, 7, 17, 18],”
• p-LAPLACIAN PROBLEMS WHERE THE NONLINEARITY CROSSES AN EIGENVALUE (2005, background): “We would like to thank the referee for pointing out the reference [4].”
• Some recent results on the Dirichlet problem for $(p, q)$-Laplace equations (2017, background): “Let us mention that the existence results of [13, 24] actually deal with more general equations, as we will see later.”
• Morse Theoretic Aspects of $p$-Laplacian Type Operators (2010, background): “[34] Jean-Noël Corvellec, Marco Degiovanni, and Marco Marzocchi.”
• Nonlinear Nonhomogeneous Robin Problems with Superlinear Reaction Term (2016, background): “Recently there have been some existence and multiplicity results for such equations, see [5, 9, 15, 27, 34, 35, 39, 40].”
• Qualitative Phenomena for Some Classes of Quasilinear Elliptic Equations with Multiple Resonance (2014, methodology): “Such nonhomogeneous elliptic equation were investigated recently by Cingolani & Degiovanni [14], Cingolani & Vannella [16], and He & Li [26], who proved existence theorems.”