Results 61 to 70 of about 533 (117)

Existence and asymptotic behavior of solutions to the generalized damped Boussinesq equation

open access: yesElectronic Journal of Differential Equations, 2012
We consider the Cauchy problem for the n-dimensional generalized damped Boussinesq equation. Based on decay estimates of solutions to the corresponding linear equation, we define a solution space with time weighted norms.
Yinxia Wang
doaj  

Weak solutions for degenerate semilinear elliptic BVPs in unbounded domains

open access: yesElectronic Journal of Differential Equations, 2012
In this article, we prove the existence of a weak solution for the degenerate semilinear elliptic Dirichlet boundary-value problem $$displaylines{ Lu(x)+sum_{i=1}^n g(x)h(u(x))D_iu(x)=f(x)quad hbox{in }Omega,cr u=0quad hbox{on }partialOmega, }$$ in
Rasmita Kar
doaj  

Local W^{1,p}-regularity estimates for weak solutions of parabolic equations with singular divergence-free drifts

open access: yesElectronic Journal of Differential Equations, 2017
We study weighted Sobolev regularity of weak solutions of non-homogeneous parabolic equations with singular divergence-free drifts. Assuming that the drifts satisfy some mild regularity conditions, we establish local weighted $L^p$-estimates for the
Tuoc Phan
doaj  

Existence of weak solutions for degenerate semilinear elliptic equations in unbounded domains

open access: yesElectronic Journal of Differential Equations, 2009
In this study, we prove the existence of a weak solution for the degenerate semilinear elliptic Dirichlet boundary-value problem $$displaylines{ Lu-mu u g_{1} + h(u) g_{2}= fquad hbox{in }Omega,cr u = 0quad hbox{on }partialOmega }$$ in a suitable ...
Venkataramanarao Raghavendra   +1 more
doaj  

Nonlinear singular hyperbolic initial boundary value problems

open access: yesElectronic Journal of Differential Equations, 2017
In this article, we aim to prove the well posedness of a one point initial boundary value problem for a nonlinear hyperbolic singular integro-differential partial differential equation.
Said Mesloub, Imed Bachar
doaj  

Ground states for a modified capillary surface equation in weighted Orlicz-Sobolev space

open access: yesElectronic Journal of Differential Equations, 2015
In this article, we prove a compact embedding theorem for the weighted Orlicz-Sobolev space of radially symmetric functions. Using the embedding theorem and critical points theory, we prove the existence of multiple radial solutions and radial ground ...
Guoqing Zhang, Huiling Fu
doaj  

Hyperbolic P ( Φ ) 2 -model on the Plane. [PDF]

open access: yesCommun Math Phys
Oh T, Tolomeo L, Wang Y, Zheng G.
europepmc   +1 more source

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