Results 91 to 100 of about 4,486,095 (208)

On the location of the peaks of least-energy solutions to semilinear Dirichlet problems with critical growth

Abstract and Applied Analysis, 2002
We study the location of the peaks of solution for the critical growth problem −ε 2Δu+u=f(u)+u 2*−1, u>0 in Ω, u=0 on ∂Ω, where Ω is a bounded domain; 2*=2N/(N−2), N≥3, is the critical Sobolev exponent and f has a behavior like up ...
Marco A. S. Souto
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Existence Results for Neumann Problem with Critical Sobolev–Hardy Exponent and Choquard-Type Nonlinearity

Fractal and Fractional
We consider a Neumann problem for the fractional Laplacian involving a nonlocal Choquard-type nonlinearity and Sobolev–Hardy exponent. Under suitable assumptions on the data and using the Nehari manifold method, we discuss the existence problem in ...
Zhenfeng Zhang, Calogero Vetro, Tianqing An, Wei Chen   +3 more
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Minimizers and symmetric minimizers for problems with critical Sobolev exponent

, 2009
In this paper we will be concerned with the existence and non-existence of constrained minimizers in Sobolev spaces $\dkp(\real^N)$, where the constraint involves the critical Sobolev exponent. Minimizing sequences are not, in general, relatively compact
Waliullah, Shoyeb,
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Existence of solutions for Choquard equations with an L 1 $L^{1}$ -integrable reciprocal potential and upper critical growth

Boundary Value Problems
This paper is dedicated to studying the Choquard-type equation { − Δ u + V ( x ) u = ( I α ∗ | u | p ) | u | p − 2 u + λ | u | q − 2 u , u ∈ H 1 ( R N ) , $$ \left \{ \textstyle\begin{array}{l} - \Delta u + V(x)u = ( {{I_{\alpha }} * {{\left | u \right |}
Ting Guo, Tianle Xia, Xianhua Tang
doaj   +1 more source

Study of positive solutions to semilinear elliptic problems with critical exponent

, 2009
Se realizó un estudio caracterizando el tipo soluciones a un problema elíptico semilineal con exponente crítico a partir de la revisión de conceptos básicos del cálculo variacional y de la teoría de exponente crítico de Sobolev, explorando algunas ...
Murcia Pardo, Sandra Milena
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Taxas de decaimento para a energia associada a um sistema semilinear de ondas elásticas em Rn com potencial do tipo dissipativo [PDF]

, 2013
Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro de Ciências Físicas e Matemáticas. Programa de Pós-Graduação em Matemática Pura e Aplicada, Florianópolis, 2013Neste trabalho estuda-se a existência e a unicidade de soluções globais
Horbach, Jaqueline Luiza
core  

On multiple solutions of the Neumann problem involving the critical Sobolev exponent

, 2004
We consider the Neumann problem involving the critical Sobolev exponent and a nonhomogeneous boundary condition. We establish the existence of two solutions.
Chabrowski, J. H.
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The variable exponent BV-Sobolev capacity [PDF]

, 2020
In this article we study basic properties of the mixed BV-Sobolev capacity with variable exponent p. We give an alternative way to define mixed type BV-Sobolev-space which was originally introduced by Harjulehto, Hästö, and Latvala.
Matti Nuortio, Heikki Hakkarainen
core  

Multiplicity of solutions to the sum of polyharmonic equations with critical Sobolev exponents

Electronic Journal of Differential Equations, 2015
In this article, we prove multiplicity of solutions for the sum of polyharmonic equation with critical Sobolev exponent. The proof is based upon the methods of weakly lower semi-continuous of the functionals and the Mountain Pass Lemma without (PS ...
Wei Liu, Gao Jia, Lu-Quian Guo
doaj  

Blow-up Solutions of Quasilinear Hyperbolic Equations With Critical Sobolev Exponent

, 2012
In this paper, we show finite time blow-up of solutions of the p−wave equation in ℝN, with critical Sobolev exponent.
S. Ibrahim, A. Lyaghfouri
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