Boundary layer and spike layer solutions for a bistable elliptic problem with generalized boundary conditions
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Publication:818432
DOI10.1016/j.jde.2005.08.006zbMath1357.35126OpenAlexW2087902821MaRDI QIDQ818432
Publication date: 20 March 2006
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2005.08.006
Equations involving nonlinear operators (general) (47J05) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Blow-up in context of PDEs (35B44)
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Cites Work
- Unnamed Item
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- Stable transition layers in a semilinear boundary value problem
- The boundary trace of positive solutions of semilinear elliptic equations: The supercritical case
- The boundary trace of positive solutions of semilinear elliptic equations: the subcritical case
- On the location of spikes of solutions with two sharp layers for a singularly perturbed semilinear Dirichlet problem
- On spike solutions of singularly perturbed semilinear Dirichlet problem
- Liouville type results and eventual flatness of positive solutions for \(p\)-Laplacian equations.
- Multi-layer solutions for an elliptic problem.
- Structure of boundary blow-up solutions for quasi-linear elliptic problems. II: Small and intermediate solutions
- Stable transition layers in a semilinear diffusion equation with spatial inhomogeneities in \(N\)-dimensional domains
- Uniqueness and layer analysis for boundary blow up solutions
- Boundary blow up solutions with a spike layer
- Construction of various types of solutions for an elliptic problem
- On the location and profile of spike-layer solutions to a singularly perturbed semilinear Dirichlet problem: Intermediate solutions
- Asymptotic behavior and uniqueness results for boundary blow-up solutions.
- Boundary blow-up solutions with interior layers and spikes in a bistable problem
- The set of positive solutions of semilinear equations in large balls
- LOGISTIC TYPE EQUATIONS ON ℝN BY A SQUEEZING METHOD INVOLVING BOUNDARY BLOW-UP SOLUTIONS
- Layers and spikes in non-homogeneous bistable reaction-diffusion equations
- On a nonlinear eigenvalue problem occurring in population genetics
- Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
- On the profile of solutions with two sharp layers to a singularly perturbed semilinear Dirichlet problem
- The boundary trace and generalized boundary value problem for semilinear elliptic equations with coercive absorption
- Multiple boundary blow-up solutions for nonlinear elliptic equations
- Structure of positive boundary blow-up solutions