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Positive Solution for a Class of Degenerate Quasilinear Elliptic Equations in R-N
(Springer, 2014-12-01)
We establish a result on the existence of a positive solution for the following class of degenerate quasilinear elliptic problems:(P) {-Delta(up)u + V(x)vertical bar x vertical bar-(ap+)vertical bar u vertical bar(p-2)u = ...
Singularly perturbed biharmonic problems with superlinear nonlinearities
(Khayyam PublishingAthens, 2014)
We are interested in finding a family of solutions of a singularly perturbed biharmonic equation, which has a concentration behavior. The proof is based on variational methods and uses a weak version of the Ambrosetti-Rabinowitz ...
A nonlinear elliptic problem with terms concentrating in the boundary
(Wiley-BlackwellHoboken, 2012)
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 e-neighborhood of a portion G of the ...
Positive solutions for an elliptic equation in an annulus with a superlinear nonlinearity with zeros
(Wiley-VCH Verlag GmbHWeinheim, 2014-07)
We study existence, multiplicity, and the behavior, with respect to λ, of positive radially symmetric solutions of − 'delta'u = λh(x, u) in annular domains in 'R POT.N', N ≥ 2. The nonlinear term has a superlinear local ...
Nonlinear elliptic systems
(Acad Brasileira De CienciasRio JaneiroBrasil, 2000)
On the existence of weak solutions of semilinear elliptic equations and systems with Hardy potentials
(Academic Press Inc., 2019)
© 2018 Elsevier Inc.Let Ω⊂RN (N≥3) be a bounded C2 domain and δ(x)=dist(x,∂Ω). Put Lμ=Δ+[Formula presented] with μ>0. In this paper, we provide various necessary and sufficient conditions for the existence of weak ...