Results 101 to 110 of about 3,762 (154)

Existence and uniqueness of a positive solution for a non homogeneous problem of fourth order with weights

open access: yesElectronic Journal of Differential Equations, 2006
In this work we study the existence of a positive solutions to the non homogeneous equation $$ Delta( |Delta u|^{p-2} Delta u) = m |u|^{q-2}u $$ with Navier boundary conditions, where $1 less than ,q less than p_2^*$ and $min L^infty(Omega)setminus {0}$,
Mohamed Talbi, Najib Tsouli
doaj  

Solutions to Yang-Mills equations that are not self-dual. [PDF]

open access: yesProc Natl Acad Sci U S A, 1989
Sibner LM, Sibner RJ, Uhlenbeck K.
europepmc   +1 more source

Existence of solutions for degenerate Kirchhoff type problems with fractional p-Laplacian

open access: yesElectronic Journal of Differential Equations, 2017
In this article, by using the Fountain theorem and Mountain pass theorem in critical point theory without Palais-Smale (PS) condition, we show the existence and multiplicity of solutions to the degenerate Kirchhoff type problem with the fractional p ...
Nemat Nyamoradi, Lahib Ibrahim Zaidan
doaj  

An elliptic equation with spike solutions concentrating at local minima of the Laplacian of the potential

open access: yesElectronic Journal of Differential Equations, 2000
We consider the equation $-epsilon^2 Delta u + V(z)u = f(u)$ which arises in the study of nonlinear Schr"odinger equations. We seek solutions that are positive on ${mathbb R}^N$ and that vanish at infinity.
Gregory S. Spradlin
doaj  

An existence result for elliptic problems with singular critical growth

open access: yesElectronic Journal of Differential Equations, 2007
We prove the existence of nontrivial solutions for the singular critical problem $$ -Delta u-mu frac{u}{|x|^{2}}=lambda f(x)u+u^{2^{ast }-1} $$ with Dirichlet boundary conditions.
Yasmina Nasri
doaj  

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