Results 31 to 40 of about 2,533 (95)
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 the location of two blow up points on an annulus for the mean field equation [PDF]
, 2014 We consider the mean field equation on two-dimensional annular domains, and prove that if $P$ and $Q$ are two blow up points of a blowing-up solution sequence of the equation, then we must have $P=-Q$.Comment: To appear in ...
Grossi, M., Takahashi, F.
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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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Advances in Nonlinear Analysis, 2019 In this paper, we consider the nonlinear eigenvalue problem:
Khalil Abdelouahed El +3 more
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Multiple solutions for weighted Kirchhoff equations involving critical Hardy-Sobolev exponent
Advances in Nonlinear Analysis, 2020 In this article, we consider a class of Kirchhoff equations with critical Hardy-Sobolev exponent and indefinite nonlinearity, which has not been studied in the literature. We prove very nicely that this equation has at least two solutions in ℝ3. And some
Shen Zupei, Yu Jianshe
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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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Multiplicity of concentrating solutions for a class of magnetic Schrödinger-Poisson type equation
Advances in Nonlinear Analysis, 2020 In this paper, we study the following nonlinear magnetic Schrödinger-Poisson type ...
Liu Yueli, Li Xu, Ji Chao
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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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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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Unilateral boundary value problems with jump discontinuities
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 30, Page 1933-1941, 2003., 2003 Using the critical point theory of Szulkin (1986), we study elliptic problems with unilateral boundary conditions and discontinuous nonlinearities. We do not use the method of upper and lower solutions. We prove two existence theorems: one when the right‐hand side is nondecreasing and the other when it is nonincreasing.
Nikolaos Halidias
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