The Variational Approach for P-Laplace Equation with Lack of Compactness

DOI

10.2991/amsm-16.2016.96How to use a DOI?

Keywords

p-Laplace equation; variational method; Nodal solution; Nehari manifold

Abstract

Minimization technique is used on the Nehari manifold for p-Laplace equation with a nonhomogeneous nonlinearity where compactness is not guaranteed. In the space of radial functions, the point overcoming the lack of compactness is to show that the minimizing sequence converges in a strong enough sense to pass to the limit in the nonlinear term. The nontrivial radial solution is found by restoring compactness in such space.

Copyright

© 2016, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Dong Zhang
PY  - 2016/05
DA  - 2016/05
TI  - The Variational Approach for P-Laplace Equation with Lack of Compactness
BT  - Proceedings of the 2016 International Conference on Applied Mathematics, Simulation and Modelling
PB  - Atlantis Press
SP  - 427
EP  - 430
SN  - 2352-538X
UR  - https://doi.org/10.2991/amsm-16.2016.96
DO  - 10.2991/amsm-16.2016.96
ID  - Zhang2016/05
ER  -