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Multiplicity of 1D-concentrating positive solutions to the Dirichlet problem for equation with $p$-Laplacian
Multiplicity of 1D-concentrating positive solutions Dirichlet problem equation Analysis of PDEs
2012/6/21
We prove the multiplicity of spike-layer type solutions to the Dirichlet problem for the equation $-\Delta_p u = u^{q-1}$ in expanding annuli.
Continuity of attractors for a nonlinear parabolic problem with terms concentrating in the boundary
Partial differential equations on infinite-dimensional spaces asymptotic behavior of solutions attractors singular perturbations concentrating terms
2012/4/17
We analyze the dynamics of the flow generated by a nonlinear parabolic problem when some reaction and potential terms are concentrated in a neighborhood of the boundary. We assume that this neighborho...
A nonlinear elliptic problem with terms concentrating in the boundary
Semilinear elliptic equations nonlinear boundary conditions singular elliptic equations upper semicontinuity concentrating terms
2012/4/17
In this paper we investigate the behavior of a family of steady state solutions of a nonlinear reaction diffusion equation when some reaction and potential terms are concentrated in a $\epsilon$-neigh...
Nonlinear Schrödinger equation with unbounded or vanishing potentials: solutions concentrating on lower dimensional spheres
Stationary nonlinear Schr¨odinger equation semiclassical states semilinear
2010/12/6
We study positive bound states for the equation −"2u + V (x)u = K(x)f(u), x 2 RN,where " > 0 is a real parameter and V and K are radial positive potentials.We are especially interested in solut...