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Branching of solutions and nonexistence of first integrals in Hamiltonian mechanics. I

โœ Scribed by S. L. Ziglin

Publisher
Springer US
Year
1983
Tongue
English
Weight
759 KB
Volume
16
Category
Article
ISSN
0016-2663

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Existence and Nonexistence of Solutions
Existence and Nonexistence of Solutions of Nonlinear Dirichlet Problems with First Order Terms
โœ Luisa Moschini; Stanislav I. Pohozaev; Alberto Tesei ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 141 KB

Existence theorems for nonnegative solutions to a class of nonlinear Dirichlet problems with first order terms are proved. Nonexistence results are also discussed, depending on the regularity of the coefficient of the first order term. The proofs make use of a direct variational approach and of inte