Note on an anisotropic p -Laplacian equation in R
نویسنده
چکیده
In this paper, we study a kind of anisotropic p-Laplacian equations in R n. Nontrivial solutions are obtained using mountain pass theorem given by Ambrosetti-Rabinowitz [1].
منابع مشابه
3D Thermoelastic Interactions in an Anisotropic Lastic Slab Due to Prescribed Surface Temparature
The present paper is devoted to the determination of displacement, stresses and temperature from three dimensional anisotropic half spaces due to presence of heat source. The normal mode analysis technique has been used to the basic equations of motion and generalized heat conduction equation proposed by Green-Naghdi model-II [1]. The resulting equation are written in the form of a vector –matr...
متن کاملOn a p-Laplacian system and a generalization of the Landesman-Lazer type condition
This article shows the existence of weak solutions of a resonance problem for nonuniformly p-Laplacian system in a bounded domain in $mathbb{R}^N$. Our arguments are based on the minimum principle and rely on a generalization of the Landesman-Lazer type condition.
متن کاملA note on the bounds of Laplacian-energy-like-invariant
The Laplacian-energy-like of a simple connected graph G is defined as LEL:=LEL(G)=∑_(i=1)^n√(μ_i ), Where μ_1 (G)≥μ_2 (G)≥⋯≥μ_n (G)=0 are the Laplacian eigenvalues of the graph G. Some upper and lower bounds for LEL are presented in this note. Moreover, throughout this work, some results related to lower bound of spectral radius of graph are obtained using the term of ΔG as the num...
متن کاملThe fibering map approach to a quasilinear degenerate p(x)-Laplacian equation
By considering a degenerate $p(x)-$Laplacian equation, a generalized compact embedding in weighted variable exponent Sobolev space is presented. Multiplicity of positive solutions are discussed by applying fibering map approach for the corresponding Nehari manifold.
متن کاملEffect of Initial Stress on Propagation of Love Waves in an Anisotropic Porous Layer
In the present paper, effect of initial stresses on the propagation of Love waves has been investigated in a fluid saturated, anisotropic, porous layer lying in welded contact over a prestressed, non-homogeneous elastic half space. The dispersion equation of phase velocity has been derived. It has been found that the phase velocity of Love waves is considerably influenced by porosity and anisot...
متن کامل