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Existence Result for a Class of Nonlinear Elliptic Systems on Punctured Unbounded Domains
Boundary Value Problems volume 2010, Article number: 175409 (2010)
We establish the existence of a nontrivial solution for systems with an arbitrary number of coupled Poisson equations with critical growth in punctured unbounded domains. The proof depends on a generalized linking theorem due to Krysewski and Szulkin, and on a concentration-compactness argument, proved by Frigon and the author. Applications to reaction-diffusion systems with skew gradient structure are also discussed in the last section.
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Colin, F. Existence Result for a Class of Nonlinear Elliptic Systems on Punctured Unbounded Domains. Bound Value Probl 2010, 175409 (2010). https://doi.org/10.1155/2010/175409
- Differential Equation
- Partial Differential Equation
- Ordinary Differential Equation
- Functional Equation
- Arbitrary Number