Elementary proof of the nonexistence of nodal solutions for the semilinear elliptic equations with critical sobolev exponent

DOI10.1016/0362-546X(90)90106-QzbMath0706.35048OpenAlexW1989493450MaRDI QIDQ3487849

S. L. Yadava, Adimurthi

Publication date: 1990

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(90)90106-q

zbMATH Keywords

nonexistencecritical Sobolev exponentnodal solutionssemilinearPohožaev identity

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

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Cites Work

• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Emden-Fowler equations involving critical exponents
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