Existence of Global Attractors in for -Laplacian Parabolic Equation in

Existence of Global Attractors in L for m-Laplacian Parabolic Equation in R

Existence and Continuity of Global Attractors for a Degenerate Semilinear Parabolic Equation

In this article, we study the existence and the upper semicontinuity with respect to the nonlinearity and the shape of the domain of global attractors for a semilinear degenerate parabolic equation involving the Grushin operator.

Uniform Attractors for the Non–autonomous Parabolic Equation with Nonlinear Laplacian Principal Part in Unbounded Domain

In this paper, we are concerned with the asymptotic behavior of the solution for the non-autonomous parabolic equation with nonlinear Laplacian principal part in R n. The existence of the (L2(Rn),L2(Rn)) -uniform attractor, the (L2(Rn),Lp(Rn)) -uniform attractor and the (L2(Rn),W 1,p(Rn)∩Lq(Rn)) -uniform attractor will be proved. Mathematics subject classification (2010): 35B40, 35B41, 35L70.

Existence of Random Attractors for a p-Laplacian-Type Equation with Additive Noise

and Applied Analysis 3 introducing a new inner product over the resolvent of Laplacian, we surmount this obstacle and obtain the estimate of the solution in the Sobolev space V0, which is weaker than V , see Lemma 4.2 in Section 4. Here some basic results about Dirichlet forms of Laplacian are used. For details on the Dirichlet forms of a negative definite and self-adjoint operator please refer...

Existence of a positive solution for a p-Laplacian equation with‎ ‎singular nonlinearities

‎In this paper‎, ‎we study a class of boundary value problem‎ ‎involving the p-Laplacian oprator and singular nonlinearities‎. ‎We‎ ‎analyze the existence a critical parameter $lambda^{ast}$ such‎ ‎that the problem has least one solution for‎ ‎$lambdain(0,lambda^{ast})$ and no solution for‎ ‎$lambda>lambda^{ast}.$ We find lower bounds of critical‎ ‎parameter $lambda^{ast}$‎. ‎We use the method ...