Results 11 to 20 of about 275 (109)
On certain nonlinear elliptic systems with indefinite terms
Electronic Journal of Differential Equations, 2002 We consider an elliptic quasi linear systems with indefinite term on a bounded domain. Under suitable conditions, existence and positivity results for solutions are given. Submitted April 2, 2002. Published October 2, 2002.
Ahmed Bensedik, Mohammed Bouchekif
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Elliptic equations with one-sided critical growth
Electronic Journal of Differential Equations, 2002 We consider elliptic equations in bounded domains $Omegasubset mathbb{R}^N $ with nonlinearities which have critical growth at $+infty$ and linear growth $lambda$ at $-infty$, with $lambda > lambda_1$, the first eigenvalue of the Laplacian. We prove that
Marta Calanchi, Bernhard Ruf
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On a singular elliptic problem with variable exponent
, 2023 In the present note we study a semilinear elliptic Dirichlet problem involving a singular term with variable exponent of the following type. Existence and uniqueness results are proved when f ≥ 0.
FARACI, Francesca, Francesca Farraci
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On the pure critical exponent problem for the $$p$$ -Laplacian [PDF]
, 2012 In this paper we prove existence and multiplicity of positive and sign-changing solutions to the pure critical exponent problem for the p-Laplacian operator with Dirichlet boundary conditions on a bounded domain having nontrivial topology and discrete ...
Pacella, F +7 more
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Species survival versus eigenvalues
Abstract and Applied Analysis, Volume 2004, Issue 2, Page 115-131, 2004., 2004 Mathematical models describing the behavior of hypothetical species in spatially heterogeneous environments are discussed and analyzed using the fibering method devised and developed by S. I. Pohozaev.
Luiz Antonio Ribeiro de Santana +2 more
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An elliptic problem with critical exponent and positive Hardy potential
Abstract and Applied Analysis, Volume 2004, Issue 2, Page 91-98, 2004., 2004 We give the existence result and the vanishing order of the solution in 0 for the following equation: −Δu(x) + (μ/|x|2)u(x) = λu(x) + u2*−1(x), where x ∈ B1, μ > 0, and the potential μ/|x|2 − λ is positive in B1.
Shaowei Chen, Shujie Li
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Solutions for nonlinear variational inequalities with a nonsmooth potential
Abstract and Applied Analysis, Volume 2004, Issue 8, Page 635-649, 2004., 2004 First we examine a resonant variational inequality driven by the p‐Laplacian and with a nonsmooth potential. We prove the existence of a nontrivial solution. Then we use this existence theorem to obtain nontrivial positive solutions for a class of resonant elliptic equations involving the p‐Laplacian and a nonsmooth potential.
Michael E. Filippakis +1 more
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Ionic size effects: generalized Boltzmann distributions, counterion stratification and modified Debye length [PDF]
, 2013 Near a charged surface, counterions of different valences and sizes cluster; and their concentration profiles stratify. At a distance from such a surface larger than the Debye length, the electric field is screened by counterions.
Li, Bo +7 more
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Multiple positive solutions for quasilinear elliptic problems with sign‐changing nonlinearities
Abstract and Applied Analysis, Volume 2004, Issue 12, Page 1047-1055, 2004., 2004 Using variational arguments, we prove some nonexistence and multiplicity results for positive solutions of a system of p‐Laplace equations of gradient form. Then we study a p‐Laplace‐type problem with nonlinear boundary conditions.
Julián Fernández Bonder
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Symmetry and concentration behavior of ground state in axially symmetric domains
Abstract and Applied Analysis, Volume 2004, Issue 12, Page 1019-1030, 2004., 2004 We let Ω(r) be the axially symmetric bounded domains which satisfy some suitable conditions, then the ground‐state solutions of the semilinear elliptic equation in Ω(r) are nonaxially symmetric and concentrative on one side. Furthermore, we prove the necessary and sufficient condition for the symmetry of ground‐state solutions.
Tsung-Fang Wu
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