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Bounded Solutions for Nonlinear Elliptic Equations in Unbounded Domains
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R. Stańczy
Published/Copyright:
June 4, 2010
Abstract
We prove here the existence of a bounded, radial solution in unbounded domain of the nonlinear elliptic problem
under some asymptotic and sign condition on ƒ. Under stronger assumptions it is proved that this solution must be of constant sign. The existence of radial solutions, vanishing at ∞, of some semilinear equation is also established here.
Key words and phrases.: Nonlinear elliptic equations; bounded solutions; exterior domain; Green function; fixed point theorem
Received: 1999-05-11
Revised: 1999-11-05
Published Online: 2010-06-04
Published in Print: 2000-June
© Heldermann Verlag
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Keywords for this article
Nonlinear elliptic equations;
bounded solutions;
exterior domain;
Green function;
fixed point theorem
Articles in the same Issue
- Feynman's Path Integrals and Henstock's Non-Absolute Integration
- Universally Polygonally Approximable Functions
- Differential Calculus for Complex-Valued Multifunctions
- On Analogues of Some Classical Subsets of the Real Line
- Oscillation Criteria of Comparison Type for Second Order Difference Equations
- On the Convergence of the Method of Lines for Quasi–Nonlinear Functional Evolutions in Banach Spaces
- Bounded Solutions for Nonlinear Elliptic Equations in Unbounded Domains
- A Characterization of Strict Local Minimizers of Order One for Static Minmax Problems in the Parametric Constraint Case
- On Linear Dependence of Iterates
