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Stable stationary solutions induced by spatial inhomogeneity via ?-convergence

https://doi.org/10.1007/bf01245869
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/cpa.3160480101openalex-snapshot
Uniform convergence of a singular perturbation problem
inferredcites →https://doi.org/10.1006/jdeq.1994.1036openalex-snapshot
Reaction-Diffusion Induced Stability of a Spatially Inhomogeneous Equilibrium with Boundary Layer Formation
inferredcites →https://doi.org/10.1006/jdeq.1996.3206openalex-snapshot
Local Minimizers Induced by Spatial Inhomogeneity with Inner Transition Layer
inferredcites →https://doi.org/10.1007/978-1-4612-1015-3openalex-snapshot
Weakly Differentiable Functions: Sobolev Spaces and Functions of Bounded Variation
inferredcites →https://doi.org/10.1007/978-1-4684-9486-0openalex-snapshot
Minimal Surfaces and Functions of Bounded Variation
inferredcites →https://doi.org/10.1007/978-3-642-61798-0openalex-snapshot
Elliptic Partial Differential Equations of Second Order
inferredcites →https://doi.org/10.1007/978-3-642-62010-2openalex-snapshot
Geometric Measure Theory
inferredcites →https://doi.org/10.1007/bf00046892openalex-snapshot
Lectures on the ekeland variational principle with applications and detours
inferredcites →https://doi.org/10.1007/bf00251230openalex-snapshot
The gradient theory of phase transitions and the minimal interface criterion
inferredcites →https://doi.org/10.1007/bf00253122openalex-snapshot
The effect of a singular perturbation on nonconvex variational problems
inferredcites →https://doi.org/10.1007/bf00275730openalex-snapshot
A nonlinear parabolic equation with varying domain
inferredcites →https://doi.org/10.1007/bfb0089647openalex-snapshot
Geometric Theory of Semilinear Parabolic Equations
inferredcites →https://doi.org/10.1016/0362-546x(85)90007-0openalex-snapshot
Bifurcations in a parabolic equation with variable diffusion
inferredcites →https://doi.org/10.1016/0362-546x(87)90066-6openalex-snapshot
On the existence of multiple ordered solutions of nonlinear eigenvalue problems
inferredcites →https://doi.org/10.1016/0362-546x(91)90177-3openalex-snapshot
Nonconvex variational problems with anisotropic perturbations
inferredcites →https://doi.org/10.1016/c2013-0-11200-7openalex-snapshot
Geometric Measure Theory
inferredcites →https://doi.org/10.1017/s0308210500025026openalex-snapshot
Local minimisers and singular perturbations
inferredcites →https://doi.org/10.1017/s030821050002504xopenalex-snapshot
The gradient theory of phase transitions for systems with two potential wells
inferredcites →https://doi.org/10.1137/0516085openalex-snapshot
Stable Equilibria in a Scalar Parabolic Equation with Variable Diffusion
inferredcites →https://doi.org/10.1215/kjm/1250522572openalex-snapshot
Convergence of solutions of one-dimensional semilinear parabolic equations

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1002/9783527618835.ch15openalex-snapshot
Differential Equations Applications
inferred← citeshttps://doi.org/10.1006/jdeq.1998.3579openalex-snapshot
On the Role of Diffusivity in Some Stable Equilibria of a Diffusion Equation
inferred← citeshttps://doi.org/10.1007/3-7643-7401-2_28openalex-snapshot
The Role of the Equal-Area Condition in Internal and Superficial Layered Solutions to Some Nonlinear Boundary Value Elliptic Problems
inferred← citeshttps://doi.org/10.1007/s00028-015-0304-4openalex-snapshot
Stable equilibria of a singularly perturbed reaction–diffusion equation when the roots of the degenerate equation contact or intersect along a non-smooth hypersurface
inferred← citeshttps://doi.org/10.1016/j.jmaa.2012.12.008openalex-snapshot
Interfaces in some elliptic nonlinear boundary value problems on Riemannian manifolds: Necessary condition and location
inferred← citeshttps://doi.org/10.1016/j.jmaa.2013.10.058openalex-snapshot
The roles of diffusivity and curvature in patterns on surfaces of revolution
inferred← citeshttps://doi.org/10.1016/j.jmaa.2015.08.071openalex-snapshot
Stable equilibria to a singularly perturbed reaction–diffusion equation in a degenerated heterogeneous environment
inferred← citeshttps://doi.org/10.1016/s0022-0396(02)00147-xopenalex-snapshot
Stable transition layers in a semilinear diffusion equation with spatial inhomogeneities in N-dimensional domains
inferred← citeshttps://doi.org/10.1016/s0362-546x(99)00276-xopenalex-snapshot
Inner transition layers in an elliptic boundary value problem: a necessary condition
inferred← citeshttps://doi.org/10.1515/ans-2015-0205openalex-snapshot
Stable Transition Layers to Singularly Perturbed Spatially Inhomogeneous Allen-Cahn Equation
inferred← citeshttps://doi.org/10.21711/231766362004/rmc274openalex-snapshot
A GEOMETRIC SUFFICIENT CONDITION FOR EXISTENCE OF STABLE TRANSITION LAYERS FOR SOME REACTION-DIFFUSION EQUATIONS
inferred← citeshttps://doi.org/10.3934/cpaa.2023057openalex-snapshot
Interior interfaces with (or without) boundary intersection for an anisotropic Allen-Cahn equation
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