Countable families of solutions of a limit stationary semilinear fourth-order Cahn-Hilliard-type equation I. Mountain pass and Lusternik-Schnirel’man patterns in R N $\mathbb{R}^{N}$

Author:

Álvarez-Caudevilla PORCID,Evans JD,Galaktionov VA

Funder

Ministerio de Economía y Competitividad (ES)

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Reference33 articles.

1. Álvarez-Caudevilla, P, Galaktionov, VA: Steady states, global existence and blow-up for fourth-order semilinear parabolic equations of Cahn-Hilliard type. Adv. Nonlinear Stud. 12, 315-361 (2012)

2. Evans, JD, Galaktionov, VA, Williams, JF: Blow-up and global asymptotics of the limit unstable Cahn-Hilliard equation. SIAM J. Math. Anal. 38, 64-102 (2006)

3. Admaev, OV, Pukhnachev, VV: Self-similar solutions of the equation u t + Δ 2 u + Δ ( u 2 ) = 0 $u_{t} + \Delta^{2} u + \Delta (u^{2})=0$ . Preprint no. 3, Comp. Centre, Krasnoyarsk (1997)

4. Novick-Cohen, A: Blow up and growth in the directional solidification of dilute binary alloys. Appl. Anal. 47, 241-257 (1992)

5. Novick-Cohen, A: The Cahn-Hilliard equation: mathematical and modeling perspectives. Adv. Math. Sci. Appl. 8, 965-985 (1998)

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