An elliptic system with logarithmic nonlinearity
In the present paper, we study the existence of solutions for some classes of singular systems involving the Δp(x){\Delta_{p(x)}} and Δq(x){\Delta_{q(x)}} Laplacian operators. The approach is based on bifurcation theory and the sub-supersolution method
Alves Claudianor +2 more
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Nodal Solutions for a Quasilinear Elliptic Equation Involving the p-Laplacian and Critical Exponents
This paper is concerned with the following type of quasilinear elliptic equations in ℝN{\mathbb{R}^{N}} involving the p-Laplacian and critical growth:
Deng Yinbin, Peng Shuangjie, Wang Jixiu
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Quasilinear elliptic systems in divergence form associated to general nonlinearities
The paper is concerned with a priori estimates of positive solutions of quasilinear elliptic systems of equations or inequalities in an open set of Ω⊂ℝN{\Omega\subset\mathbb{R}^{N}} associated to general continuous nonlinearities satisfying a local ...
D’Ambrosio Lorenzo, Mitidieri Enzo
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Eigenvalues for Finsler p-Laplacian with zero Dirichlet boundary condition
In this paper we analyze the problem - Qpu(x) = λu(x) when x∈Ω with u(x) = 0 when x∈Ω , where Ω⊂ℝN is a bounded domain, Qp stands for Finsler p-Laplacian and \ {2} is a given ...
Fărcăşeanu Maria
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Sign-Changing Solutions of Fractional 𝑝-Laplacian Problems
In this paper, we obtain the existence and multiplicity of sign-changing solutions of the fractional p-Laplacian problems by applying the method of invariant sets of descending flow and minimax theory.
Chang Xiaojun +2 more
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The fractional p-Laplacian on hyperbolic spaces
Jongmyeong Kim, Ki-Ahm Lee, Minhyun Kim
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Uniqueness of solutions to singular p-Laplacian equations with subcritical nonlinearity
We present a geometric approach to the study of quasilinear elliptic p-Laplacian problems on a ball in ℝn${\mathbb{R}^{n}}$ using techniques from dynamical systems.
Maultsby Bevin
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Bifurcation results for quasi-linear operators from the Fučik spectrum of the Laplacian
Wend-Benedo Emmanuel Zongo
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Two uniqueness results in the inverse boundary value problem for the weighted p-Laplace equation
In this paper we prove a general uniqueness result in the inverse boundary value problem for the weighted p-Laplace equation in the plane, with smooth weights.
Catalin Carstea, Ali Feizmohammadi
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Analysis of positive solutions for classes of quasilinear singular problems on exterior domains
We consider the ...
Chhetri Maya +2 more
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