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
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
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
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
Higher-order regularity for a structurally damped plate equation on rough domains. [PDF]
Denk R, Roodenburg FB.
europepmc +1 more source
Hyperbolic P ( Φ ) 2 -model on the Plane. [PDF]
Oh T, Tolomeo L, Wang Y, Zheng G.
europepmc +1 more source
Optimal error estimates of the diffuse domain method for second order parabolic equations. [PDF]
Hao W, Ju L, Xu Y.
europepmc +1 more source
Microlocal analysis of non-linear operators arising in Compton CT. [PDF]
Webber JW, Holman S.
europepmc +1 more source
Energy-dissipative adaptive-step L1 discretisation for the Caputo time-fractional incompressible magnetohydrodynamic system. [PDF]
Abidin MZ.
europepmc +1 more source
Regression in tensor product spaces by the method of sieves. [PDF]
Zhang T, Simon N.
europepmc +1 more source

