Electron. J. Diff. Eqns., Vol. 2004(2004), No. 49, pp. 1-10.

Multiple solutions for inhomogeneous nonlinear elliptic problems arising in astrophyiscs

Marco Calahorrano & Hermann Mena

Abstract:
Using variational methods we prove the existence and multiplicity of solutions for some nonlinear inhomogeneous elliptic problems on a bounded domain in $\mathbb{R}^n$, with $n\geq 2$ and a smooth boundary, and when the domain is $\mathbb{R}_+^n$

Submitted May 15, 2003. Published April 6, 2004.
Math Subject Classifications: 35J65, 85A30, 35J20.
Key Words: Solar flares, variational methods, inhomogeneous nonlinear elliptic problems.

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Marco Calahorrano
Escuela Politecnica Nacional, Departamento de Matematica
Apartado 17-01-2759, Quito, Ecuador
email: calahor@server.epn.edu.ec
Hermann Mena
Escuela Politecnica Nacional, Departamento de Matematica
Apartado 17-01-2759, Quito, Ecuador
email: hmena@server.epn.edu.ec

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