In this paper, we prove bifurcation results for a fractional quasilinear system with critical nonlinearities. Under different assumptions on the exponents of nonlinearities, we give existence results respectively.
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Research Article10.9734/jamcs/2021/v36i230336
We consider the following quasilinear attraction-repulsion chemotaxis system of parabolic-elliptic-elliptic type with logistic source under homegeneous Neumann boundary conditions in a bounded domain `\Omega\subset R^{n}(n\geq2)` with smooth boundary, where `D(u)\geq c_{D}(u+1)^...
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Research Article10.9734/jamcs/2019/v30i630092
In this paper we consider a class of p-biharmonic parabolic equation with nonlocal nonlinearities and Neumann boundary condition. By constructing suitable auxiliary functions and using differential inequalities, we give blow-up criterion of solutions as well as extinction and non...
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Research Article10.9734/JAMCS/2017/35755
The paper deals with a nonlinear equation in one-dimensional space, of which the nonlinearity appears both in source term and the Neumann boundary condition. Firstly, we proved that the solution of problem (1.1) quenches in finite time and the only quenching point is x = 0 if the...
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Research Article10.9734/BJMCS/2016/28721
This paper deals with a reaction-diffusion equation subject to nonlinear nonlocal boundary condition and with nonlocal reaction source. We investigate the global existence and blow up in finite time of a nonnegative solution by using a sub-super solution method.
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Research Article10.9734/BJMCS/2016/25746
In this paper, we investigate the effect of the mean curvature of the boundary ∂Ω on the behavior of the blow-up solutions to the p-Laplacian type quasilinear elliptic equation div(|∇u|p-2∇u) = um|∇u|, p > 1, where the Ω ∈ RN be a boun...
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Research Article10.9734/BJMCS/2016/20768
This paper is concerned with the blow-up phenomena for a type of parabolic equations with weighted nonlinear source where Ω ⊂ RN (N ≥ 3) is a smooth bounded domain. Through constructing some suitable auxiliary functions and using the rst-order di...
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Research Article10.9734/BJMCS/2016/20736
This paper investigates the existence of positive solutions of the nonlinear fractional di_erential system _ where 0 < s; p < 1, Ds;Dp are the standard Riemann-Liouville fractional derivatives, λ; μ > 0 are parameters. The peculiarity of this coupled equations is the c...
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Research Article10.9734/BJMCS/2015/17028
In this paper, we study the boundary behavior of solution to the singular Dirichlet problem where Ω is a bounded domain with smooth boundary in RN, λ ∈ R,m > 1, 0 < q ≤ m/(m - 1), lims→0+ g(s) = +∞, and b ∈ Ca(Ω), which is non-negative on Ω...
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Research Article10.9734/BJMCS/2015/12968
In this paper, we study existence, and the asymptotic behavior, with respect to λ , of positive radially symmetric solutions of −ΔΡu = λh(x; u) in annular domains in RN;N ≥ 2. The nonlinear term has a...
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Research Article10.9734/BJMCS/2015/13254
In this paper, we consider the problem for the existence of the entire positive radial solutions of quasilinear elliptic system And, we also consider the following quasilinear elliptic system: Using the theory of ordinary differential equation, iteration method and comparison...
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Research Article10.9734/BJMCS/2014/6354
In this paper, we investigate the positive solutions of quasilinear elliptic equations of the form where is an open ball centered at origin of RN, g is an unbounded decreasing function is positive and continuous . We emphasis the effect of all these terms in the study of exist...
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Research Article10.9734/BJMCS/2014/6371
Using variational methods, we estabilish existence of positive solutions for a class of quasilinear elliptic problems where is a positive, continuous perturbations of a periodic function, H is the Heaviside function and f is a con...
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Research Article10.9734/BJMCS/2014/6006
In this paper, we mainly study the boundary behavior of solutions to boundary blow-up quasilinear elliptic problem where is a bounded domain with smooth boundary in which is positive in and maybe vanishing on the boundary and rapidly varying near the boundary.
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Research Article10.9734/BJMCS/2013/4487
The existence of at least three weak solutions is established for a class of quasilinear elliptic systems involving the (p(x); q(x))-biharmonic operators with Navier boundary value conditions. The technical approach is mainly based on a three critical points theorem due to Riccer...
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Research Article10.9734/BJMCS/2013/3166
We study the existence and nonexistence of entire positive solutions for quasilinear elliptic system with gradient term on where nonlinearities f and g are positive and continuous, the potentials a and b are continuous, c-positive and satisfy appropriate growth conditions at infin...
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Research Article10.9734/BJMCS/2013/2498
In this paper, our main purpose is studying the nonexistence of radial positive solutions for the boundary-value problem: where is an annulus in is a continuous nonlinear function and satisfies f(0) < 0 (the nonpositone case), f also has more than one zero.
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Research Article10.9734/BJMCS/2013/1767
By a sub-supersolution argument and a perturbed argument, we improve the earlier results concerning the existence of ground state solutions to a quasilinear elliptic problem where for some α ∈ (0, 1) is non-negative and is a locally Holder continuous func...
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Research Article10.9734/BJMCS/2012/1133