Monotonicity properties for ground states of the scalar field equation

Patricio L. Felmer; Alexander Quaas; Moxun Tang; Jianshe Yu

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On the uniqueness of the second bound state solution of a semilinear equation

Carmen Cortázar, Marta García-Huidobro, Cecilia S. Yarur (2009)

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Terminal value problem for singular ordinary differential equations: theoretical analysis and numerical simulations of ground states.

Palamides, Alex P., Yannopoulos, Theodoros G. (2006)

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Existence, non-existence and regularity of radial ground states for p-laplacian equations with singular weights

Patrizia Pucci, Raffaella Servadei (2008)

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A note on the Cahn-Hilliard equation in $H^{1} (ℝ^{N})$ involving critical exponent

Jan W. Cholewa, Aníbal Rodríguez-Bernal (2014)

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We consider the Cahn-Hilliard equation in $H^{1} (ℝ^{N})$ with two types of critically growing nonlinearities: nonlinearities satisfying a certain limit condition as $| u | \to \infty$ and logistic type nonlinearities. In both situations we prove the $H^{2} (ℝ^{N})$ -bound on the solutions and show that the individual solutions are suitably attracted by the set of equilibria. This complements the results in the literature; see J. W. Cholewa, A. Rodriguez-Bernal (2012).

Radially symmetric solutions for a class of critical exponent elliptic problems in $ℝ^{N}$ .

Alves, C.O., de Morais Filho, D.C., Souto, M.A.S. (1996)

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Decay for travelling waves in the Gross–Pitaevskii equation

Philippe Gravejat (2004)

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A remark on the uniqueness of fundamental solutions to the $p$ -Laplacian equation, $p > 2$ .

Laurençot, Ph. (1998)

Portugaliae Mathematica

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Displaying similar documents to “Monotonicity properties for ground states of the scalar field equation”

On the uniqueness of the second bound state solution of a semilinear equation

Terminal value problem for singular ordinary differential equations: theoretical analysis and numerical simulations of ground states.

Existence, non-existence and regularity of radial ground states for p-laplacian equations with singular weights

A note on the Cahn-Hilliard equation in H 1 ( ℝ N ) involving critical exponent

Radially symmetric solutions for a class of critical exponent elliptic problems in ℝ N .

Decay for travelling waves in the Gross–Pitaevskii equation

A remark on the uniqueness of fundamental solutions to the p -Laplacian equation, p > 2 .

A note on the Cahn-Hilliard equation in $H^{1} (ℝ^{N})$ involving critical exponent

Radially symmetric solutions for a class of critical exponent elliptic problems in $ℝ^{N}$ .

A remark on the uniqueness of fundamental solutions to the $p$ -Laplacian equation, $p > 2$ .