Existence and Multiplicity of Solutions for Noncoercive Neumann Problems with p-Laplacian
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RIS BIB ENDNOTEExistence and Multiplicity of Solutions for Noncoercive Neumann Problems with p-Laplacian
Publication date: 20.12.2012
Schedae Informaticae, 2012, Volume 21, pp. 27 - 40
https://doi.org/10.4467/20838476SI.12.002.0812Authors
Existence and Multiplicity of Solutions for Noncoercive Neumann Problems with p-Laplacian
We consider a nonlinear Neumann elliptic equation driven by the p-Laplacian and a Carathéodory perturbation. The energy functional of the problem need not be coercive. Using variational methods we prove an existence theorem and a multiplicity theorem, producing two nontrivial smooth solutions. Our formulation incorporates strongly resonant equations..
Anello G.; Existence of innitely many weak solutions for a Neumann problem, Non- linear Anal. 57, 2004, pp. 199{209.
Bartolo P., Benci V., Fortunato D.; Abstract critical point theorems and applications to some nonlinear problems with strong" resonance at innity, Nonlinear Anal. 7, 1983, pp. 981{1012.
Filippakis M., Gasinski L., Papageorgiou N.S.; Multiplicity result for nonlinear Neu- mann problems, Canad. J. Math. 58, 2006, pp. 64{92.
Gasinski L., Papageorgiou N.S.; Nonlinear Analysis, Chapman and Hall/CRC Press, Boca Raton, FL, 2006.
Lieberman G.M.; Boundary regularity for solutions of degenerate elliptic equations, Nonlinear Anal. 12, 1988, pp. 1203{1219.
Motreanu D., Papageorgiou N.S.; Existence and multiplicity of solutions for Neumann problems, J. Dierential Equations 232, 2007, pp. 1{35.
O'Regan D., Papageorgiou N.S.; The existence of two nontrivial solutions via homolog- ical local linking for the non-coercive p-Laplacian Neumann problem, Nonlinear Anal. 70, 2009, pp. 4386{4392.
Wu X.-P., Tan K.K.; On existence and multiplicity of solutions of Neumann boundary value problems for quasi-linear elliptic equations, Nonlinear Anal. 65, 2006, pp. 1334{ 1347.
Information: Schedae Informaticae, 2012, Volume 21, pp. 27 - 40
Article type: Original article
Titles:
Existence and Multiplicity of Solutions for Noncoercive Neumann Problems with p-Laplacian
Existence and Multiplicity of Solutions for Noncoercive Neumann Problems with p-Laplacian
Faculty of Mathematics and Computer Science, Jagiellonian University, Krakow, Poland
National Technical University, Athens, Greece
Published at: 20.12.2012
Article status: Open
Licence: None
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EnglishView count: 1994
Number of downloads: 1050