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《Journal de Mathématiques Pures et Appliquées》2002,81(7):655-696
In contrast with the subcritical case, we prove that for any bounded domain in , the Neumann elliptic problem with critical nonlinearity has no solution blowing up at only interior points as μ goes to infinity. 相似文献
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《Nonlinear Analysis: Theory, Methods & Applications》2003,54(1):9-37
In this paper, we study the problemin the setting of the weighted sobolev space . The main novelty of our work is L∞ estimates on the solutions, and the existence of a weak and renormalized solution. 相似文献
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《European Journal of Operational Research》2002,143(2):365-376
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《Nonlinear Analysis: Theory, Methods & Applications》2003,52(5):1535-1552
In this paper we use an algebraic topological argument due to Bahri and Coron to show how the topology of the domain influences the existence of positive solutions of the following problem involving the bilaplacian operator with the critical Sobolev exponentwhere is a bounded domain of with a smooth boundary . 相似文献
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