Qin Jiang, Sheng Ma
Abstract:
This article shows the existence of solutions by the least action principle,
for semilinear elliptic equations with Neumann boundary conditions, under
critical growth and local coercive conditions. In the subcritical growth and
local coercive case, multiplicity results are established by using the minimax
methods together with a standard eigenspace decomposition.
Submitted May 29, 2015. Published August 4, 2015.
Math Subject Classifications: 35J20, 35J25.
Key Words: Elliptic equations; Neumann boundary conditions;
critical point; least action principle; minimax methods.
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Qin Jiang Department of Mathematics Huanggang Normal University Hubei 438000, China email: jiangqin999@126.com | |
Sheng Ma Department of Mathematics Huanggang Normal University Hubei 438000, China email: masheng666@126.com |
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