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Subjects
35-XX Partial differential equations
35Bxx Qualitative properties of solutions
35B25 Singular perturbations

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Displaying 41 – 50 of 50

Asymptotic behavior of elliptic boundary-value problems with some small coefficients.

Guesmia, Senoussi (2008)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters, part II

Filippo Gazzola, Bert Peletier, Patrizia Pucci, James Serrin (2003)

Annales de l'I.H.P. Analyse non linéaire

Asymptotic behavior of solutions of a system of viscous conservation laws.

Joseph, Kayyunnapara Thomas (2005)

Applied Mathematics E-Notes [electronic only]

Asymptotic behavior of solutions on a thin plastic plate.

Moussa, Abdelaziz Ait, Messaho, Jamal (2009)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Asymptotic behavior of the solution of quasilinear parametric variational inequalities in a beam with a thin neck.

Marchis, Iuliana (2010)

Acta Universitatis Sapientiae. Mathematica

Asymptotic expansion of solutions of parabolic equations with a small parameter.

Gagnidze, A. (1998)

Georgian Mathematical Journal

Asymptotic expansions for linear symmetric hyperbolic systems with small parameter.

Hawamdeh, O., Perjan, A. (1999)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Asymptotic properties of ground states of scalar field equations with a vanishing parameter

Vitaly Moroz, Cyrill B. Muratov (2014)

Journal of the European Mathematical Society

We study the leading order behaviour of positive solutions of the equation $- Δ u + ϵ u - {| u |}^{p - 2} u + {| u |}^{q - 2} u = 0, x \in ℝ^{N}$ , where $N \geq 3$ , $q > p > 2$ and when $ϵ > 0$ is a small parameter. We give a complete characterization of all possible asymptotic regimes as a function of $p$ , $q$ and $N$ . The behavior of solutions depends sensitively on whether $p$ is less, equal or bigger than the critical Sobolev exponent $2^{*} = \frac{2 N}{N - 2}$ . For $p < 2^{*}$ the solution asymptotically coincides with the solution of the equation in which the last term is absent. For $p > 2^{*}$ the solution asymptotically coincides...

Asymptotic representations for solutions of bisingular problems.

Sushko, Valeri G. (1999)

Memoirs on Differential Equations and Mathematical Physics

Asymptotic solutions of diffusion models for risk reserves.

Shao, S. (2003)

International Journal of Mathematics and Mathematical Sciences

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