Results 21 to 30 of about 2,254 (236)
Remarks on a semilinear elliptic equation on Rn [PDF]
Journal of Differential Equations, 1988 On etudie l'equation elliptique semi-lineaire Δu−u+Q|u| P−1 u=0 dans R n , u≥0, u¬=0 dans R n et u→0 a l'infini avec p telle que ...
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Stochastic gradient descent for semilinear elliptic equations with uncertainties [PDF]
Journal of Computational Physics, 2021 Randomness is ubiquitous in modern engineering. The uncertainty is often modeled as random coefficients in the differential equations that describe the underlying physics. In this work, we describe a two-step framework for numerically solving semilinear elliptic partial differential equations with random coefficients: 1) reformulate the problem as a ...
Ting Wang, Jaroslaw Knap
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On a Class of Semilinear Elliptic Equations in R
Journal of Differential Equations, 2002 AbstractWe establish that for n⩾3 and p>1, the elliptic equation Δu+K(x)up=0 in Rn possesses separated positive entire solutions of infinite multiplicity, provided that a locally Hölder continuous function K⩾0 in Rn\{0}, satisfies K(x)=O(∣x∣σ) at x=0 for some σ>−2, and K(x)=c∣x∣−2+O(∣x∣−n[log∣x∣]q) near ∞ for some constants c>0 and q>0.
Bae, Soohyun, Chang, Tong Keun
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On a class of semilinear elliptic problems near critical growth
International Journal of Mathematics and Mathematical Sciences, 1998 We use Minimax Methods and explore compact embedddings in the context of Orlicz and Orlicz-Sobolev spaces to get existence of weak solutions on a class of semilinear elliptic equations with nonlinearities near critical growth. We consider both biharmonic
J. V. Goncalves, S. Meira
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Uniqueness of radial solutions of semilinear elliptic equations [PDF]
Transactions of the American Mathematical Society, 1992 E. Yanagida recently proved that the classical Matukuma equation with a given exponent has only one finite mass solution. We show how similar ideas can be exploited to obtain uniqueness results for other classes of equations as well as Matukuma equations with more general coefficients. One particular example covered is
Kwong, Man Kam, Li, Yi
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On Singular Semilinear Elliptic Equations
Journal of Mathematical Analysis and Applications, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An approximation theorem for solutions of degenerate semilinear elliptic equations [PDF]
, 2017 The main result establishes that a weak solution of degenerate semilinear elliptic equations can be approximated by a sequence of solutions for non-degenerate semilinear elliptic equations.
Albo Carlos Cavalheiro +1 more
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Some maximum principles for solutions of a class of partial differential equations in Ω⊂ℝn
International Journal of Mathematics and Mathematical Sciences, 2000 We find maximum principles for solutions of semilinear elliptic partial differential equations of the forms: (1) Δ2u+αf(u)=0, α∈ℝ+ and (2) ΔΔu+α(Δu)k+gu=0, α≤0 in some region Ω⊂ℝn.
Mohammad Mujalli Al-Mahameed
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A singularly perturbed semilinear reaction-diffusion problem in a polygonal domain
, 2009 The semilinear reaction-di®usion equation ¡"24u+b(x; u) = 0 with Dirichlet bound-ary conditions is considered in a convex polygonal domain. The singular perturbation parameter ε is arbitrarily small, and the “reduced equation” b(x, u0 (x)) = 0 may have ...
Kellogg, R. Bruce +3 more
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Semilinear Poisson problems in Sobolev-Besov spaces on Lipschitz domains
, 2002 Extending recent work for the linear Poisson problem for the Laplacian in the framework of Sobolev-Besov spaces on Lipschitz domains by Jerison and Kenig [16], Fabes, Mendez and Mitrea [9], and Mitrea and Taylor [30], here we take up the task of ...
M. Mitrea +3 more
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