4 problems
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Limit behavior of distinguished angles at the Sobolev critical exponent
Let be the angle from Corollary B(iv), and let be the angle from Theorem C, for the Emden–Fowler problem on a spherical cap. Critical-exponent limit…
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Monotonicity and nonexistence conjecture for the Emden–Fowler equation
Let , let , and let denote the relevant solution-branch parameter for the Emden–Fowler equation … has no regular solution for…
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Finite-energy conjecture for solutions at the shooting levels
Finite-energy conjecture. The solutions corresponding to have finite energy.
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Bidaut-Véron–Szulkin conjecture for the Hamiltonian system
Bidaut-Véron–Szulkin conjecture. System with admits no radial or nonradial global solutions if and only if lies under the hyperbola