Nodal solutions for an elliptic problem involving large nonlinearities

DOI10.1016/j.jde.2008.06.038zbMath1161.34008OpenAlexW2005832259MaRDI QIDQ952528

Massimo Grossi

Publication date: 12 November 2008

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2008.06.038

zbMATH Keywords

Green's functionRadial solutionsSupercritical problems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for ordinary differential equations (34B15)

Cites Work

• Unnamed Item
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• Some sufficient conditions for the existence of positive solutions to the equation \(-\Delta u + a(x)u = u^{2^* -1}\) in bounded domains
• Nontrivial solutions of elliptic equations with supercritical exponent in contractible domains
• Nonexistence results for elliptic problems with supercritical nonlinearity in nontrivial domains
• Asymptotic behaviour of the Kazdan-Warner solution in the annulus
• Supercritical elliptic problems in domains with small holes
• Sign-changing solutions for supercritical elliptic problems in domains with small holes
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Remarks on some quasilinear elliptic equations

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