Existence and multiplicity of solutions for a Dirichlet problem involving the discrete p(x)-Laplacian operator [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2011 In the present paper, using the three critical points theorem and variational method, we study the existence and multiplicity of solutions for a Dirichlet problem involving the discrete p(x)-Laplacian operator.
Rabil Ayazoglu (Mashiyev) +2 more
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Sub-super solution method for nonlocal systems involving the p(x)-Laplacian operator
Electronic Journal of Differential Equations, 2020 In this article we study the existence of solutions for nonlocal systems involving the p(x)-Laplacian operator. The approach is based on a new sub-super solution method.
Gelson C. G. dos Santos +2 more
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Weak solutions to Dirichlet boundary value problem driven by p(x)-Laplacian-like operator [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We prove the existence of weak solutions to the Dirichlet boundary value problem for equations involving the $p(x)$-Laplacian-like operator in the principal part, with reaction term satisfying a sub-critical growth condition.
Calogero Vetro
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Characterization of solutions to equations involving the p(x)-Laplace operator
Electronic Journal of Differential Equations, 2017 In this article we study two problems, a nonlinear eigenvalue problem involving the p(x)-Laplacian and a subcritical boundary value problem for the same operator.
Iulia Dorotheea Stircu +1 more
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Multiple solutions to a class of inclusion problems with operator involving p(x)-Laplacian [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2013 In this paper, we prove the existence of at least two nontrivial solutions for a nonlinear elliptic problem involving p(x)-Laplacian-like operator and nonsmooth potentials.
Qing-Mei Zhou
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Existence of solutions for an elliptic equation involving the $p(x)$-Laplace operator
Electronic Journal of Differential Equations, 2006 In this paper we study an elliptic equation involving the $p(x)$-Laplace operator on the whole space $mathbb{R}^N$. For that equation we prove the existence of a nontrivial weak solution using as main argument the mountain pass theorem of ...
Maria-Magdalena Boureanu
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Some evaluations of the fractional p-Laplace operator on radial functionsy [PDF]
, 2022 We face a rigidity problem for the fractional p-Laplace operator to extend to this new framework some tools useful for the linear case. It is known that (-Δ)^s(1 - |x|^2)^s_+ and -Δp(1 - |x|^(p/p-1) ) are constant functions in (-1; 1) for fixed p and s ...
Ferrari F. +3 more
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On the Limited p-Schur Property of Some Operator Spaces
International Journal of Analysis and Applications, 2018 We introduce and study the notion of limited $p$-Schur property ($1\leq p\leq\infty$) of Banach spaces. Also, we establish some necessary and sufficient conditions under which some operator spaces have the limited $p$-Schur property.
M.B. Dehghani +2 more
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A perturbed elliptic problem involving the p(x)-Kirchhoff type triharmonic operator [PDF]
, 2023 This paper examines the existence of weak solutions for a nonlinear boundary value problem of p(x)-Kirchhoff type involving the p(x)-Kirchhoff type triharmonic operator and perturbed external source terms.
Eugenio Cabanillas Lapa +1 more
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Existence and multiplicity of solutions for Dirichlet problems involving the p(x)-Laplace operator
Electronic Journal of Differential Equations, 2013 In this article, we study superlinear Dirichlet problems involving the p(x)-Laplace operator without using the Ambrosetti-Rabinowitz's superquadraticity condition.
Mustafa Avci
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