Results 51 to 60 of about 819 (86)
Multiplicity results for elliptic Kirchhoff-type problems
The aim of this paper is to establish the existence of multiple solutions for a perturbed Kirchhoff-type problem depending on two real parameters. More precisely, we show that an appropriate oscillating behaviour of the nonlinear part, even under small ...
Baraket Sami, Molica Bisci Giovanni
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In the present paper we study nonlocal problems for ordinary differential equations with a discontinuous coefficient for the high order derivative. We establish sufficient conditions, known as regularity conditions, which guarantee the coerciveness for both the space variable and the spectral parameter, as well as guarantee the completeness of the ...
M. Denche
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Single point blow-up solutions to the heat equation with nonlinear boundary conditions
We study finite blow-up solutions of the heat equation with nonlinear boundary conditions. We provide a sufficient condition for the single point blow-up at the origin and a precise spacial singularity of the blow-up profile.
J. Harada
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Anisotropic nonlinear diffusion with absorption: existence and extinction
The authors prove that the nonlinear parabolic partial differential equation with homogeneous Dirichlet boundary conditions and a nonnegative initial condition has a nonnegative generalized solution u. They also give necessary and sufficient conditions on the constitutive functions φij and f which ensure the existence of a time t0 > 0 for which u ...
Alan V. Lair, Mark E. Oxley
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Global existence and finite-time blowup for a mixed pseudo-parabolic r(x)-Laplacian equation
This article is devoted to the study of the initial boundary value problem for a mixed pseudo-parabolic r(x)r\left(x)-Laplacian-type equation. First, by employing the imbedding theorems, the theory of potential wells, and the Galerkin method, we ...
Cheng Jiazhuo, Wang Qiru
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Heat transfer in a complex medium
The heat equation is considered in the complex medium consisting of many small bodies (particles) embedded in a given material. On the surfaces of the small bodies an impedance boundary condition is imposed.
A. G. Ramm+14 more
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Parabolic Biased Infinity Laplacian Equation Related to the Biased Tug-of-War
In this paper, we study the parabolic inhomogeneous β-biased infinity Laplacian equation arising from the β-biased tug-of ...
Liu Fang, Jiang Feida
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ON THE EXISTENCE FOR AN ENZYME REACTION MODEL
In this paper we discuss existence for a mathematical model of the enzyme reaction process described by a reaction-diffusion equation under initial and boundary conditions. Some existence conditions which guarantee solvability are considered.
N. Georgieva+4 more
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Maximal Lp -Lq regularity to the Stokes problem with Navier boundary conditions
We prove in this paper some results on the complex and fractional powers of the Stokes operator with slip frictionless boundary conditions involving the stress tensor.
Al Baba Hind
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Well-posed problems for the fractional Laplace equation with integral boundary conditions [PDF]
In this remark we study the boundary-value problems for a fractional analogue of the Laplace equation with integral boundary conditions in rectangular and half-strip domains.
Tokmagambetov, Niyaz, Torebek, Berikbol
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