Boundary separated and clustered layer positive solutions for an elliptic Neumann problem with large exponent
DOI10.1142/S0219199721500887zbMath1505.35218arXiv1904.02936OpenAlexW3210499213MaRDI QIDQ5048647
Publication date: 16 November 2022
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.02936
Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
Related Items (1)
Cites Work
- Bubbling on boundary submanifolds for a semilinear Neumann problem near high critical exponents
- Bubbling on boundary submanifolds for the Lin-Ni-Takagi problem at higher critical exponents
- Boundary concentration phenomena for the higher-dimensional Keller-Segel system
- On the boundary spike layer solutions to a singularly perturbed Neumann problem
- Existence and nonexistence of interior-peaked solution for a nonlinear Neumann problem.
- Concentration at curves for a singularly perturbed Neumann problem in three-dimensional domains
- Initiation of slime mold aggregation viewed as an instability
- Concentration on minimal submanifolds for a singularly perturbed Neumann problem
- Arbitrarily many solutions for an elliptic Neumann problem with sub- or supercritical nonlinearity
- Large amplitude stationary solutions to a chemotaxis system
- Neumann problems of semilinear elliptic equations involving critical Sobolev exponents
- Singular behavior of least-energy solutions of a semilinear Neumann problem involving critical Sobolev exponents
- On the interior spike layer solutions to a singularly perturbed Neumann problem
- Multi-peak solutions for a semilinear Neumann problem involving the critical Sobolev exponent
- Locating the peaks of least-energy solutions to a semilinear Neumann problem
- Construction of singular limits for a semilinear elliptic equation in dimension 2
- The question of interior blow-up points for an elliptic Neumann problem: the critical case.
- Existence of multipeak solutions for a semilinear Neumann problem via nonsmooth critical point theory
- Boundary-layers for a Neumann problem at higher critical exponents
- Super-critical boundary bubbling in a semilinear Neumann problem
- Multipeak solutions for a singularly perturbed Neumann problem
- Multiple interior peak solutions for some singularly perturbed Neumann problems.
- Multidimensional boundary layers for a singularly perturbed Neumann problem
- Blowing up solutions for an elliptic Neumann problem with sub- or supercritical nonlinearity. I: \(N=3\)
- A class of solutions for the Neumann problem \(-\Delta u+ \lambda u= u^{(N+2)/ (N-2)}\)
- Multiple spike layers in the shadow Gierer-Meinhardt system: Existence of equilibria and the quasi-invariant manifold
- Interaction between the geometry of the boundary and positive solutions of a semilinear Neumann problem with critical nonlinearity
- Singular limits in Liouville-type equations
- Arbitrary many boundary peak solutions for an elliptic Neumann problem with critical growth
- Blowing up solutions for an elliptic Neumann problem with sub- or supercritical nonlinearity. II: \(N\geqslant 4\)
- Concentrating solutions for a planar elliptic problem involving nonlinearities with large exponent
- Interior estimates for some semilinear elliptic problem with critical nonlinearity
- Bubble accumulations in an elliptic Neumann problem with critical Sobolev exponent
- ON A SINGULARLY PERTURBED NEUMANN PROBLEM WITH THE CRITICAL EXPONENT
- Collapsing steady states of the Keller–Segel system
- On the shape of least‐energy solutions to a semilinear Neumann problem
- Geometry and topology of the boundary in the critical Neumann problem.
- The role of the mean curvature in semilinear neumann problem involving critical exponent
- On the Modular Representation Theory of the Two-Dimensional Special Linear Group Over an Algebraically Closed Field
- Boundary effect for an elliptic neumann problem with critical nonlinearity
- On a singularly perturbed equation with neumann boundary condition
- On Multiple Mixed Interior and Boundary Peak Solutions for Some Singularly Perturbed Neumann Problems
- AN ELLIPTIC NEUMANN PROBLEM WITH CRITICAL NONLINEARITY IN THREE DIMENSIONAL DOMAINS
- Estimates for boundary-bubbling solutions to an elliptic Neumann problem
- On the Role of Mean Curvature in Some Singularly Perturbed Neumann Problems
- Boundary concentration phenomena for a singularly perturbed elliptic problem
- Sharp estimates for solutions of multi‐bubbles in compact Riemann surfaces
- On the role of distance function in some singular perturbation problems
- Methods in Nonlinear Analysis
- The existence of non-topological multivortex solutions in the relativistic self-dual Chern-Simons theory
- The effect of geometry of the domain boundary in an elliptic Neumann problem.
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Boundary separated and clustered layer positive solutions for an elliptic Neumann problem with large exponent