排序方式: 共有23条查询结果,搜索用时 15 毫秒
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J. Garcí a-Meliá n R. Letelier-Albornoz J. Sabina de Lis 《Proceedings of the American Mathematical Society》2001,129(12):3593-3602
In this paper we prove uniqueness of positive solutions to logistic singular problems , , 1$">, 0$"> in , where the main feature is the fact that . More importantly, we provide exact asymptotic estimates describing, in the form of a two-term expansion, the blow-up rate for the solutions near . This expansion involves both the distance function and the mean curvature of .
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We prove the Strong Maximum Principle (SMP) under suitable assumptions for a class of quasilinear parabolic problems with the p -Laplacian, p>1, on bounded cylindrical domains of RN+1, with nonnegative initial–boundary conditions and λ≤0, and we give some counterexamples to the SMP if some of our assumptions are violated. We show that the Hopf Maximum Principle holds for 1<p<2, and give a counterexample to it for p>2. Also the Weak Maximum Principle for λ≤λ1 is established. 相似文献
∂tu−Δpu−λ|u|p−2u≥0,
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In this paper, instead of energy methods, we apply the supersolution and subsolution methods to investigate the critical extinction exponents for a polytropic filtration equation with absorption and source, and improve the results of Mu et al. (J. Math. Anal. Appl. 2012; 391 :429–440). Copyright © 2012 John Wiley & Sons, Ltd. 相似文献
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G.A. Afrouzi 《Journal of Mathematical Analysis and Applications》2005,303(1):342-349
In this paper we shall study the following variant of the logistic equation with diffusion:
−du″(x)=g(x)u(x)−u2(x) 相似文献
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Marta Garcí a-Huidobro Raú l Maná sevich Cecilia S. Yarur 《Proceedings of the American Mathematical Society》2001,129(2):381-388
We establish a necessary and sufficient condition so that positive radial solutions to 0, \end{equation*}"> having an isolated singularity at , behave like a corresponding fundamental solution. Here, and are continuous functions satisfying some mild growth restrictions.
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T. Junges Miotto 《Mathematische Nachrichten》2016,289(1):67-84
In this work we study an Ambrosetti‐Prodi type problem for an elliptic system involving p‐Laplacian operator. The sub and supersolution method and the Leray‐Schauder Degree Theory are used in order to prove our result. 相似文献
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Kanishka Perera 《Journal of Mathematical Analysis and Applications》2008,338(2):1397-1400
We obtain multiple positive solutions of multiparameter semipositone p-Laplacian problems using the sub- and supersolution method and the mountain pass lemma. 相似文献
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Mikhail Surnachev 《Journal of Mathematical Analysis and Applications》2008,348(2):996-1011
We obtain improved estimates of the Keller-Osserman type for second-order elliptic semilinear inequalities in the non-divergent form sign(u)(aij(x)uxixj+bi(x)uxi)?c(x)−2|x|σ|u|. Special cases of rapidly growing or decaying weights c(x) and planar domains are also treated. 相似文献