Electron. J. Differential Equations,
Vol. 2017 (2017), No. 150, pp. 112.
An alternative approach to critical PDEs
Nikos Labropoulos
Abstract:
In this article, we use an alternative method to prove the
existence of an infinite sequence of distinct nonradial nodal
Ginvariant solutions for critical nonlinear elliptic problems
defined in the whole the Euclidean space. Our proof is via
approximation of the problem on symmetric bounded domains. The
base model problem of interest originating from Physics is
stated below:
Submitted March 8, 2017. Published June 23, 2017.
Math Subject Classifications: 35J60, 35B33, 35J20.
Key Words: Laplacian; nonradial solution; critical exponent.
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Nikos Labropoulos
Department of Mathematics
University of Patras
Patras 26110, Greece
email: nal@upatras.gr

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