Multiple positive solutions for a singular biharmonic equation in ℝ4

DOI10.1080/17476930802509254zbMath1157.35383OpenAlexW2031339632MaRDI QIDQ3611817

Bhatia Sumit Kaur, Konijeti Sreenadh

Publication date: 3 March 2009

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930802509254

zbMATH Keywords

biharmonic equationmultiple solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Boundary value problems for higher-order elliptic equations (35J40) Degenerate elliptic equations (35J70) Variational methods for higher-order elliptic equations (35J35)

Related Items (1)

Multiplicity results for the biharmonic equation with singular nonlinearity of super exponential growth in \(\mathbb{R}^4\)

Cites Work

• A global multiplicity result for \(N\)-Laplacian with critical nonlinearity of concave-convex type
• A sharp inequality of J. Moser for higher order derivatives
• Combined effects of concave and convex nonlinearities in some elliptic problems
• A singular Moser-Trudinger embedding and its applications
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Existence and uniqueness results for polyharmonic equations
• Classical solutions for some higher order semilinear elliptic equations under weak growth conditions

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