Solutions to perturbed eigenvalue problems of the p-Laplacian in RN
Using a variational approach, we investigate the existence of solutions for non-autonomous perturbations of the p-Laplacian eigenvalue problem $$ -Delta _pu=f(x,u)quad { m in}quad {Bbb R}^N,. $$ Under the assumptions that the primitive $F(x,u)$ of $f(x,u)
Joao Marcos Do O
doaj
Existence of solutions for p-Kirchhoff type problems with critical exponent
We study the existence of solutions for the p-Kirchhoff type problem involving the critical Sobolev exponent, $$displaylines{ -Big[gBig(int_Omega|abla u|^pdxBig)Big]Delta_pu =lambda f(x,u)+|u|^{p^star-2}uquadext{in }Omega,cr u=0quadext{on ...
Ahmed Hamydy +2 more
doaj
Infinitely Many Solutions for Schrödinger–Poisson Systems and Schrödinger–Kirchhoff Equations
By applying Clark’s theorem as altered by Liu and Wang and the truncation method, we obtain a sequence of solutions for a Schrödinger–Poisson system −Δu+V(x)u+ϕu=f(u)inR3,−Δϕ=u2inR3 with negative energy.
Shibo Liu
doaj +1 more source
Infinitely many homoclinic solutions for second order nonlinear difference equations with p-Laplacian. [PDF]
Sun G, Mai A.
europepmc +1 more source
A deformation theorem in the noncompact nonsmooth setting and its applications
We build a deformation for a continuous functional defined on a Banach space and invariant with respect to an isometric action of a noncompact group. Under these assumptions the Palais-Smale condition does not hold.
Gianni Arioli
doaj
Nonlinear, Nonhomogeneous Periodic Problems with no Growth Control on the Reaction. [PDF]
Gasiński L, Papageorgiou NS.
europepmc +1 more source
In this work we study the existence of a positive solutions to the non homogeneous equation $$ 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]
Sibner LM, Sibner RJ, Uhlenbeck K.
europepmc +1 more source
Modeling and simulation of electronic structure, material interface and random doping in nano electronic devices. [PDF]
Chen D, Wei GW.
europepmc +1 more source
Gravitational Lensing from a Spacetime Perspective. [PDF]
Perlick V.
europepmc +1 more source

