Geodesic
Continuous dependence on function parameters for superlinear dirichlet problems
Aleksandra Orpel1
1 Faculty of Mathematics University of /L/od/x Banacha 22 90-238 /L/od/x, Poland
Colloquium Mathematicum, Tome 103 (2005) no. 1, pp. 131-148 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We discuss the existence of solutions for a certain generalization of the membrane equation and their continuous dependence on function parameters. We apply variational methods and consider the PDE as the Euler–Lagrange equation for a certain integral functional, which is not necessarily convex and coercive. As a consequence of the duality theory we obtain variational principles for our problem and some numerical results concerning approximation of solutions.
DOI : 10.4064/cm103-1-14
Keywords: discuss existence solutions certain generalization membrane equation their continuous dependence function parameters apply variational methods consider pde euler lagrange equation certain integral functional which necessarily convex coercive consequence duality theory obtain variational principles problem numerical results concerning approximation solutions

Aleksandra Orpel 1

1 Faculty of Mathematics University of /L/od/x Banacha 22 90-238 /L/od/x, Poland 
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 for superlinear dirichlet problems
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 for superlinear dirichlet problems
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Aleksandra Orpel. Continuous dependence on function parameters
 for superlinear dirichlet problems. Colloquium Mathematicum, Tome 103 (2005) no. 1, pp. 131-148. doi: 10.4064/cm103-1-14

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