We consider the equation -ε 2 Δu = u p - u q in a bounded, smooth domain Ω ⊂ ℝ N with homogeneous Dirichlet boundary conditions when either. We prove the existence of multiple positive solutions in the case of small diffusion provided the domain Ω is not contractible. © 2012 by Pacific Journal of Mathematics.
Deformation retracts to the fat diagonal and applications to the existence of peak solutions of nonlinear elliptic equations / E., Norman Dancer; Jonathan, Hillman; Pistoia, Angela. - In: PACIFIC JOURNAL OF MATHEMATICS. - ISSN 0030-8730. - STAMPA. - 256:1(2012), pp. 67-78. [10.2140/pjm.2012.256.67]
Deformation retracts to the fat diagonal and applications to the existence of peak solutions of nonlinear elliptic equations
PISTOIA, Angela
2012
Abstract
We consider the equation -ε 2 Δu = u p - u q in a bounded, smooth domain Ω ⊂ ℝ N with homogeneous Dirichlet boundary conditions when either. We prove the existence of multiple positive solutions in the case of small diffusion provided the domain Ω is not contractible. © 2012 by Pacific Journal of Mathematics.File allegati a questo prodotto
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
