Results 31 to 40 of about 172 (136)
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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Coefficients of singularities of the biharmonic problem of Neumann type: case of the crack
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 5, Page 305-313, 2003., 2003 This paper concerns the biharmonic problem of Neumann type in a sector V. We give a representation of the solution u of the problem in a form of a series u = ∑α∈ECα rα ϕα, and the functions ϕα are solutions of an auxiliary problem obtained by the separation of variables.
Wided Chikouche, Aissa Aibèche
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, 2020 In this paper, we study the existence and nonexistence of monotone positive radial solutions of elliptic boundary value problems on bounded annular domains subject to local boundary condition.
BENAICHA, Slimane, BOUTERAA, Noureddine
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Singular degenerate problems occurring in biosorption process [PDF]
, 2013 The boundary value problems for singular degenerate arbitrary order differential-operator equations with variable coefficients are considered. The uniform coercivity properties of ordinary and partial differential equations with small parameters are ...
Shakhmurov, Veli B. +3 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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Advances in Nonlinear Analysis, 2021 We study positive solutions to the steady state reaction diffusion equation of the form:
Acharya A. +3 more
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Existence of entire explosive positive radial solutions of quasilinear elliptic systems
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 46, Page 2907-2927, 2003., 2003 Our main purpose is to establish that entire explosive positive radial solutions exist for quasilinear elliptic systems. The main results of the present paper are new and extend previous results.
Yang Zuodong
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International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 5, Page 279-283, 2002., 2002 We investigate the continuity of principal eigenvalues (i.e., eigenvalues corresponding to positive eigenfunctions) for the boundary value problem −Δu(x) = λg(x)u(x), x ∈ BR(0); u(x) = 0, |x| = R, where BR(0) is a ball in ℝN, and g is a smooth function, and we show that λ1+(R) and λ1−(R) are continuous functions of R.
Ghasem Alizadeh Afrouzi
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Existence of two solutions for singular Φ-Laplacian problems
Advanced Nonlinear Studies, 2022 Existence of two solutions to a parametric singular quasi-linear elliptic problem is proved. The equation is driven by the Φ\Phi -Laplacian operator, and the reaction term can be nonmonotone.
Candito Pasquale +2 more
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Elliptic problems with nonmonotone discontinuities at resonance (Erratum)
, 2004 Abstract and Applied Analysis, Volume 2004, Issue 3, Page 269-270, 2004.
Halidias Nikolaos
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