Results 131 to 140 of about 3,242 (149)

On the large solutions to a class of k-Hessian problems

open access: yesAdvanced Nonlinear Studies
In this paper, we consider the k-Hessian problem S k(D 2 u) = b(x)f(u) in Ω, u = +∞ on ∂Ω, where Ω is a C ∞-smooth bounded strictly (k − 1)-convex domain in RN ${\mathbb{R}}^{N}$ with N ≥ 2, b ∈ C∞(Ω) is positive in Ω and may be singular or vanish on ∂Ω,
Wan Haitao
doaj   +1 more source

Boundedness, existence and uniqueness results for coupled gradient dependent elliptic systems with nonlinear boundary condition

open access: yesAdvances in Nonlinear Analysis
In this paper, we study coupled elliptic systems with gradient dependent right-hand sides and nonlinear boundary conditions, where the left-hand sides are driven by so-called double phase operators.
Frisch Michal Maria, Winkert Patrick
doaj   +1 more source

The modified quasi-boundary-value method for an ill-posed generalized elliptic problem

open access: yesAdvances in Nonlinear Analysis
In this study, we are interested in the regularization of an ill-posed problem generated by a generalized elliptic equation in an abstract framework. The regularization strategy is based on the modified quasi-boundary-valued method, which allows us to ...
Selmani Wissame   +3 more
doaj   +1 more source

Investigation of weak solutions for p(z)-Kirchhoff equations by Young measure techniques

open access: yesNonautonomous Dynamical Systems
The present article deals with the existence of weak solutions to a class of p(z)p\left(z)-Kirchhoff-type problems. To address these problems, we employ a variational approach in conjunction with the theory of variable exponent Sobolev spaces, while ...
Allalou Mouad, Raji Abderrahmane
doaj   +1 more source

A generalized p-Laplacian problem with parameters

open access: yesDemonstratio Mathematica
In recent years, research into the multiplicity of solutions to the pp-Laplace operator problem has attracted attention, and several important results have been investigated and others still remain open.
Zuo Jiabin   +3 more
doaj   +1 more source

Green functions and smooth distances. [PDF]

open access: yesMath Ann
Feneuil J, Li L, Mayboroda S.
europepmc   +1 more source

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