Results 31 to 40 of about 4,303 (113)
On a system of multi-component Ginzburg-Landau vortices
Advances in Nonlinear Analysis, 2023 We study the asymptotic behavior of solutions for nn-component Ginzburg-Landau equations as ε→0\varepsilon \to 0. We prove that the minimizers converge locally in any Ck{C}^{k}-norm to a solution of a system of generalized harmonic map equations.
Hadiji Rejeb, Han Jongmin, Sohn Juhee
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Solvability of nonlinear Dirichlet problem for a class of degenerate elliptic equations
Abstract and Applied Analysis, Volume 2004, Issue 3, Page 205-214, 2004., 2004 We prove an existence result for solution to a class of nonlinear degenerate elliptic equation associated with a class of partial differential operators of the form Lu(x)=∑i,j=1nDj(aij(x)Diu(x)), with Dj = ∂/∂xj, where aij : Ω → ℝ are functionssatisfying suitable hypotheses.
Albo Carlos Cavalheiro
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On some classes of generalized Schrödinger equations
Advances in Nonlinear Analysis, 2020 Some classes of generalized Schrödinger stationary problems are studied. Under appropriated conditions is proved the existence of at least 1 + ∑i=2m$\begin{array}{} \sum_{i=2}^{m} \end{array}$ dim Vλi pairs of nontrivial solutions if a parameter involved
Correa Leão Amanda S. S. +3 more
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, 2004 If $X$ is an almost complex manifold, with an almost complex structure $J$ of class $\CC^\alpha$, for some $\alpha >0$, for every point $p\in X$ and every tangent vector $V$ at $p$, there exists a germ of $J$-holomorphic disc through $p$ with this ...
A. Nijenhuis +11 more
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Symmetry and concentration behavior of ground state in axially symmetric domains
Abstract and Applied Analysis, Volume 2004, Issue 12, Page 1019-1030, 2004., 2004 We let Ω(r) be the axially symmetric bounded domains which satisfy some suitable conditions, then the ground‐state solutions of the semilinear elliptic equation in Ω(r) are nonaxially symmetric and concentrative on one side. Furthermore, we prove the necessary and sufficient condition for the symmetry of ground‐state solutions.
Tsung-Fang Wu
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The eigenvalue problem for the p‐Laplacian‐like equations
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 9, Page 575-586, 2003., 2003 We consider the eigenvalue problem for the following p‐Laplacian‐like equation: −div(a(|Du|p)|Du|p−2Du) = λf(x, u) in Ω, u = 0 on ∂Ω, where Ω ⊂ ℝn is a bounded smooth domain. When λ is small enough, a multiplicity result for eigenfunctions are obtained. Two examples from nonlinear quantized mechanics and capillary phenomena, respectively, are given for
Zu-Chi Chen, Tao Luo
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Solutions of nonlinear problems involving p(x)-Laplacian operator
Advances in Nonlinear Analysis, 2015 In the present paper, by using variational principle, we obtain the existence and multiplicity of solutions of a nonlocal problem involving p(x)-Laplacian.
Yücedağ Zehra
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Existence results for nonlinear degenerate elliptic equations with lower order terms
Advances in Nonlinear Analysis, 2020 In this paper, we prove the existence and regularity of solutions of the homogeneous Dirichlet initial-boundary value problem for a class of degenerate elliptic equations with lower order terms. The results we obtained here, extend some existing ones of [
Zou Weilin, Li Xinxin
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Operators with Polynomial Coefficients and Generalized Gelfand-Shilov Classes [PDF]
, 2012 2010 Mathematics Subject Classification: Primary 35S05, 35J60; Secondary 35A20, 35B08, 35B40.We study the problem of the global regularity for linear partial differential operators with polynomial coefficients.
Calvo, Daniela +2 more
core
Journal of Mathematics, Volume 2024, Issue 1, 2024.In this paper, we consider the following quasilinear p⟶⋅‐elliptic problems with flux boundary conditions of the type −∑i=1N∂/∂xiaix,∂u/∂xi+bxupMx−2u=f1x,u−sgnug1x in Ω,∑i=1Naix,∂u/∂xiνi=cxuqx−2u+f2x,u−sgnug2x on ∂Ω.. Using the Fountain theorem and dual Fountain theorem, we prove the existence and multiplicity of solutions for a given problem, subject ...
Ahmed Ahmed +2 more
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