On the number of nodal solutions to a singularly perturbed Neumann problem
From MaRDI portal
Publication:2487936
DOI10.1007/s00229-005-0561-6zbMath1205.35031OpenAlexW2057568191MaRDI QIDQ2487936
Publication date: 17 August 2005
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00229-005-0561-6
Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for higher-order elliptic equations (35J40) A priori estimates in context of PDEs (35B45)
Related Items (10)
On Solving Semilinear Singularly Perturbed Neumann Problems for Multiple Solutions ⋮ Multipeak solutions for asymptotically critical elliptic equations on Riemannian manifolds ⋮ Localized solutions of higher topological type for semiclassical generalized quasilinear Schrödinger equations ⋮ Infinitely many localized semiclassical states for nonlinear Kirchhoff-type equation ⋮ Some generic properties of non degeneracy for critical points of functionals and applications ⋮ Multiple solutions of higher topological type for semiclassical nonlinear Schrödinger equations ⋮ Solutions with many mixed positive and negative interior spikes for a semilinear Neumann problem ⋮ Nodal Clustered Solutions for Some Singularly Perturbed Neumann Problems ⋮ Existence, multiplicity and profile of sign-changing clustered solutions of a semiclassical nonlinear Schrödinger equation ⋮ A new type of nodal solutions to singularly perturbed elliptic equations with supercritical growth
Cites Work
- Unnamed Item
- Unnamed Item
- On the boundary spike layer solutions to a singularly perturbed Neumann problem
- The effect of the domain's configuration space on the number of nodal solutions of singularly perturbed elliptic equations
- Large amplitude stationary solutions to a chemotaxis system
- Stationary solutions for the Cahn-Hilliard equation
- Locating the peaks of least-energy solutions to a semilinear Neumann problem
- Multi-spike stationary solutions of the Cahn-Hilliard equation in higher-dimension and instability.
- Existence of multipeak solutions for a semilinear Neumann problem via nonsmooth critical point theory
- Multipeak solutions for a singularly perturbed Neumann problem
- Multiple interior peak solutions for some singularly perturbed Neumann problems.
- On the construction of single-peaked solutions to a singularly perturbed semilinear Dirichlet problem
- Equilibria with many nuclei for the Cahn-Hilliard equation
- Multiple boundary peak solutions for some singularly perturbed Neumann problems
- Three nodal solutions of singularly perturbed elliptic equations on domains without topology
- On the location of spikes and profile of nodalsolutions for a singularly perturbed neumann problem
- On the effect of domain geometry on the existence of nodal solutions in singular perturbations problems
- On a singularly perturbed equation with neumann boundary condition
- On Multiple Mixed Interior and Boundary Peak Solutions for Some Singularly Perturbed Neumann Problems
- On the Role of Mean Curvature in Some Singularly Perturbed Neumann Problems
- On the location and profile of spike‐layer solutions to singularly perturbed semilinear dirichlet problems
- On the role of distance function in some singular perturbation problems
- Symmetry of nodal solutions for singularly perturbed elliptic problems on a ball
- Method of rotating planes applied to a singularly perturbed Neumann problem
This page was built for publication: On the number of nodal solutions to a singularly perturbed Neumann problem
