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12 results on '"UBILLA A"'

10. Symmetric and nonsymmetric solutions for an elliptic equation on

Author

Pedro Ubilla and Sebastián Lorca

Subjects
Elliptic curve, Compact space, Applied Mathematics, Bounded function, Mathematical analysis, Function (mathematics), Constant (mathematics), Analysis, Symmetry (physics), Mathematics, Mathematical physics, Sign (mathematics)
Abstract

We obtain, for N⩾4, the existence of a positive solution as well as a nonradial solution, which changes the sign of the equation − Δ u+V(z)u = f(z,u) in R N u ∈ H 1 ( R N ), where the function f is a superlinear nonlinearity and the function V is a potential that is bounded below by a positive constant. As a consequence, we complete for the case V(z)≡1 and f(z,u)≡f(u) the well-known work of Bartsh and Willen (J. Funct. Anal. 117 (1993) 261.) because there it does not consider the case N=5.

Published
2004

11. Symmetric and nonsymmetric solutions for an elliptic equation on <f>RN</f>

Author

Lorca, Sebastiań and Ubilla, Pedro

Subjects
*LINEAR statistical models, *FUNCTIONAL analysis, *MATHEMATICS, *STATISTICS
Abstract

We obtain, for N⩾4, the existence of a positive solution as well as a nonradial solution, which changes the sign of the equationwhere the function f is a superlinear nonlinearity and the function V is a potential that is bounded below by a positive constant. As a consequence, we complete for the case V(z)≡1 and f(z,u)≡f(u) the well-known work of Bartsh and Willen (J. Funct. Anal. 117 (1993) 261.) because there it does not consider the case N=5. [Copyright &y& Elsevier]

Published
2004
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