Results 51 to 60 of about 1,909 (109)

A Brézis–Oswald-Type Result for the Fractional (r, q)-Laplacian Problems and Its Application

Fractal and Fractional
This study derives the uniqueness of positive solutions to Brézis–Oswald-type problems involving the fractional (r,q)-Laplacian operator and discontinuous Kirchhoff-type coefficients.
Yun-Ho Kim, In Hyoun Kim
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Generalized solutions of nonlocal elliptic problems [PDF]

, 2014
An elliptic equation of order $2m$ with general nonlocal boundary-value conditions, in a plane bounded domain $G$ with piecewise smooth boundary, is considered. Generalized solutions belonging to the Sobolev space $W_2^m(G)$ are studied.
Gurevich, Pavel
core  

Well-posedness of a model of nonhomogeneous compressible-incompressible fluids

, 2016
We propose a model of a density-dependent compressible-incompressible fluid, which is intended as a simplified version of models based on mixture theory as, for instance, those arising in the study of biofilms, tumor growth and vasculogenesis. Though our
Bianchini, Roberta, Natalini, Roberto
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Forced oscillation criteria for quasilinear elliptic inequalities with p(x)-Laplacian via Riccati method [PDF]

, 2011
Forced oscillation criteria for quasilinear elliptic inequalities with p(x)-Laplacian are derived by using the Riccati inequality. The approach used is to reduce forced oscillation problems for quasilinear elliptic inequalities with p(x)-Laplacian to one-
Yoshida Norio
core   +1 more source

Existence and Uniqueness of Positive Solutions to Fractional Problems of Brézis–Oswald-Type with Unbalanced Growths and Hardy Potentials

Fractal and Fractional
The aim of this paper is to establish the existence and uniqueness of positive solutions to the non-local Brézis–Oswald-type fractional problems that involve fractional (r,q)-Laplace operators and Hardy potentials. In particular, we observe an eigenvalue
Yun-Ho Kim
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Nonzero positive solutions of a multi-parameter elliptic system with functional BCs

, 2017
We prove, by topological methods, new results on the existence of nonzero positive weak solutions for a class of multi-parameter second order elliptic systems subject to functional boundary conditions. The setting is fairly general and covers the case of
Infante, Gennaro
core   +1 more source

On Bobkov-Tanaka type spectrum for the double-phase operator

Advanced Nonlinear Studies
Moving from the seminal papers by Bobkov and Tanaka [“On positive solutions for (p, q)-Laplace equations with two parameters,” Calc. Var. Partial Differ. Equ., vol. 54, pp.
Gambera Laura, Guarnotta Umberto
doaj   +1 more source

Picone's identity for a system of first-order nonlinear partial differential equations

Electronic Journal of Differential Equations, 2013
We established a Picone identity for systems of nonlinear partial differential equations of first-order. With the help of this formula, we obtain qualitative results such as an integral inequality of Wirtinger type and the existence of zeros for the ...
Jaroslav Jaros
doaj  

A symmetrization result for a class of anisotropic elliptic problems

, 2017
We prove estimates for weak solutions to a class of Dirichlet problems associated to anisotropic elliptic equations with a zero order term.Comment: arXiv admin note: text overlap with arXiv:1607 ...
Alberico, Angela, di Blasio, Giuseppina, Feo, Filomena   +2 more
core   +1 more source

Eigenvalues of the -Laplacian and disconjugacy criteria

Journal of Inequalities and Applications, 2006
We derive oscillation and nonoscillation criteria for the one-dimensional -Laplacian in terms of an eigenvalue inequality for a mixed problem. We generalize the results obtained in the linear case by Nehari and Willett, and the proof is based on a ...
Pinasco Juan P, De Napoli Pablo L
doaj