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Publication List

Kowalczyk , Multiple spike layers in the shadow Gierer-Meinhardt system: Existence of equilibria and the quasi-invariant manifold , Duke Mathematical Journal , vol. Li and W. Li , On a singularly perturbed equation with Neumann boundary condition , Comm. Lin and W. Ni , On the diffusion coefficient of a semilinear Neumann problem , Lin, W.

Ni, and I. Takagi , Large amplitude stationary solutions to a chemotaxis system , Journal of Differential Equations , vol. Mcowen , The behavior of the laplacian on weighted sobolev spaces , Communications on Pure and Applied Mathematics , vol. Maier-paape, K. Schmitt, and Z. Wang , On Neumann problems for semilinear elliptic equations with critical nonlinearity : existence and symmetry of multi-peaked solutions , Comm. Ni , Diffusion, cross-diffusion, and their spike-layer steady states, Notices Amer , Math.

Soc , vol. Ni, X. Pan, and I. Takagi , Singular behavior of least-energy solutions of a semi-linear Neumann problem involving critical Sobolev exponents, Duke Math , J , pp. Ni and I. Takagi , On the shape of least-energy solutions to a semilinear Neumann problem , Communications on Pure and Applied Mathematics , vol.

Pdf Locating The Peaks Of Semilinear Elliptic Systems

Takagi , Locating the peaks of least-energy solutions to a semi-linear Neumann problem, Duke Math , J , vol. Rey , The role of the Green's function in a nonlinear elliptic problem involving the critical Sobolev exponent , J. Anal , pp. Rey , The question of interior blow-up points for an elliptic Neumann problem: the critical case , Journal de Math?? Rey and J. Close Figure Viewer.

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Research Interests

Multipeak solutions for a singularly perturbed Neumann problem. Locating the boundary peaks of least-energy solutions to a singularly perturbed Dirichlet problem. Del Pino M. Local mountain passes for semilinear elliptic problems in unbounded domains. Spike-layered solutions of singularly perturbed semilinear elliptic problems in a degenerate setting. Indiana Univ. Floer A. Kavian O.

NEPAL - The Conquest of Kangchenjunga - Pt. 2

The Dirichlet problem for singularly perturbed elliptic equations. Locating peaks of least- energy solutions to a semilinear Neumann problem. Duke Math.

Research Areas

On the location and profile of spike-layer solutions to singularly perturbed semilinear Dirichlet problems. Pistoia A. Locating the peaks of the least energy solutions to an elliptic system with Neumann boundary conditions. Pistoia, A. Rabinowitz P.

Angew Math.