Results 91 to 100 of about 511,067 (272)
Existence of Classical Solutions for Nonlinear Elliptic Equations with Gradient Terms. [PDF]
Entropy (Basel), 2022 Li Y, Ma W.
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[Elliptic Differential Equations] [PDF]
Reflection laws of systems of elliptic equations, on-line programming to numerically solve nonlinear integral equations, and reduction of electrostriction ...
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New Solutions of Elastic Waves in an Elastic Rod under Finite Deformation
Journal of Applied Mathematics, 2014 The nonlinear wave equation of an elastic rod under finite deformation is solved by the extended mapping method. Abundant new exact traveling wave solutions for this equation are obtained, which contain trigonometric function solutions, solitary wave ...
Peng Guo, Xiang Wu, Liangbi Wang
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A unique solution to a nonlinear elliptic equation
Journal of Mathematical Analysis and Applications, 2010 AbstractThe purpose of this paper is to prove the existence of a unique, classical solution u:Ω→R to the nonlinear elliptic partial differential equation −∇⋅(a(u(x))∇u(x))=f(x) under periodic boundary conditions, where u(x0)=u0 at x0∈Ω, with Ω=TN, the N-dimensional torus, and N=2,3.
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To the uniqueness problem for nonlinear elliptic equations
Nonlinear Analysis: Theory, Methods & Applications, 2003 We prove existence, boundedness and uniqueness of solutions to nonlinear elliptic boundary of second order under nonstandard assumptions with respect to the coefficients.
Gajewski, Herbert, Skrypnik, Igor V.
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nonlinear elliptic equations with singular reaction
Osaka Journal of Mathematics, 2016 We study a nonlinear elliptic equation with a singular term and a continuous perturbation. We look for positive solutions. We prove three multiplicity theorems producing at least two positive solutions. The first multiplicity theorem concerns equations driven by a nonhomogeneous in general differential operator.
Papageorgiou, Nikolaos S +1 more
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Nonlinear elliptic equations with a jumping reaction
Journal of Mathematical Analysis and Applications, 2016 Abstract We study a nonlinear nonhomogeneous Dirichlet problem driven by the sum of a p-Laplacian and a Laplacian ( 2 p + ∞ ) and a jumping nonlinearity. Under very general conditions on the reaction and without using the Fucik spectrum, we show that the problem has at least three nontrivial solutions and we provide sign information for ...
Gasiński, Leszek +1 more
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Nonlinear elliptic functional equations in nonreflexive Banach spaces [PDF]
, 1966 Felix E. Browder
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Bounds and compactness for solutions of second-order elliptic equations
Electronic Journal of Differential Equations, 2012 In this article, we establish some connections between Sobolev spaces and nonlinear singular elliptic problems, to obtain bounds and compactness results for solutions of second-order elliptic equations.
Carlos C. Aranda
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Singular nonlinear elliptic equations in Rn
Abstract and Applied Analysis, 1998 This paper deals with existence, uniqueness and regularity of positive generalized solutions of singular nonlinear equations of the form −Δu+a(x)u=h(x)u−γ in Rn where a,h are given, not necessarily continuous functions, and γ is a positive number.
C. O. Alves, J. V. Goncalves, L. A. Maia
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