Results 21 to 30 of about 53,896 (278)

On Hamiltonian systems with critical Sobolev exponents [PDF]

Journal of Differential Equations, 2022
26 ...
Angelo Guimarães, Ederson Moreira dos Santos   +1 more
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Bifurcation of positive solutions for a semilinear equation with critical Sobolev exponent

Electronic Journal of Differential Equations, 2006
In this note we consider bifurcation of positive solutions to the semilinear elliptic boundary-value problem with critical Sobolev exponent $$displaylines{ -Delta u = lambda u - alpha u^p+ u^{2^*-1}, quad u >0 , quad hbox{in } Omega,cr u=0, quad hbox ...
Yuanji Cheng
doaj   +1 more source

Normalized solutions for Schrödinger equations with critical Sobolev exponent and mixed nonlinearities [PDF]

Journal of Functional Analysis, 2021
In this paper, we consider the following nonlinear Schr\"{o}dinger equations with mixed nonlinearities: \begin{eqnarray*} \left\{\aligned&-\Delta u=\lambda u+\mu |u|^{q-2}u+|u|^{2^*-2}u\quad\text{in }\mathbb{R}^N,\\&u\in H^1(\bbr^N),\quad\int_{\bbr^N}u^2=
Juncheng Wei, Yuanze Wu
semanticscholar   +1 more source

Ground state solutions for fractional Schrödinger equations with critical Sobolev exponent

, 2016
In this paper, we establish the existence of ground state solutions for fractional Schrodinger equations with a critical exponent. The methods used here are based on the $s-$harmonic extension technique of Caffarelli and Silvestre, the concentration ...
Kaimin Teng, Xiumei He
openalex   +3 more sources

Fractional Laplacian equations with critical Sobolev exponent [PDF]

Revista Matemática Complutense, 2015
The paper under review extends in a fractional setting some results concerning the existence of nontrivial solutions for a class of nonlocal elliptic Dirichlet problems involving critical nonlinear terms. The basic analytic tool to establish the existence of a nontrivial solution is the linking method.
Raffaella Servadei, E. Valdinoci
semanticscholar   +6 more sources

On a singular nonlinear Neumann problem [PDF]

Opuscula Mathematica, 2014
We investigate the solvability of the Neumann problem involving two critical exponents: Sobolev and Hardy-Sobolev. We establish the existence of a solution in three cases: \(\text{(i)}\;\ 2\lt p+1\lt 2^*(s),\) \(\text{(ii)}\;\ p+1=2^*(s)\) and \(\text ...
Jan Chabrowski
doaj   +1 more source

On nonhomogeneous elliptic equations involving critical Sobolev exponent

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 1992
Let p = \frac{2\:\mathrm{N}}{\mathrm{N}−2} , \mathrm{N} ≧ 3 be the limiting Sobolev exponent and Ω\subset ℝ^{\mathrm{N}} open bounded set.
G. Tarantello
semanticscholar   +3 more sources

Existence and nonexistence of nontrivial solutions for a class of p-Kirchhoff type problems with critical Sobolev exponent

Filomat, 2022
In this work, by using variational methods we study the existence of nontrivial positive solutions for a class of p-Kirchhoff type problems with critical Sobolev exponent.
A. Matallah, S. Benmansour, H. Benchira
semanticscholar   +1 more source

Existence of solution for a quasilinear elliptic Neumann problem involving multiple critical exponents

Boundary Value Problems, 2020
In this paper, we study the Neumann boundary value problem to a quasilinear elliptic equation with the critical Sobolev exponent and critical Hardy–Sobolev exponent, and prove the existence of nontrivial nonnegative solution by means of variational ...
Yuanxiao Li, Xiying Wang
doaj   +1 more source

Problem with Critical Sobolev Exponent and with Weight [PDF]

Chinese Annals of Mathematics, Series B, 2007
We study existence results for a problem with criticical Sobolev exponent and with a positive weight.
Hadiji, Rejeb, Yazidi, Habib
openaire   +5 more sources