Infinitely many sign-changing solutions for \(p\)-Laplacian equation involving the critical Sobolev exponent
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Publication:2251180
DOI10.1186/1687-2770-2013-149zbMath1296.35078OpenAlexW2100052610WikidataQ59299929 ScholiaQ59299929MaRDI QIDQ2251180
Publication date: 11 July 2014
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-2770-2013-149
Critical exponents in context of PDEs (35B33) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Related Items (4)
Multiplicity results for critical \(p\)-Laplacian problems ⋮ Infinitely many sign-changing solutions for an elliptic equation involving double critical Hardy–Sobolev–Maz’ya terms ⋮ Existence of infinitely many solutions for the \((p, q)\)-Laplace equation ⋮ Infinitely many sign-changing solutions for the Hardy-Sobolev-Maz'ya equation involving critical growth
Cites Work
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- On the Brézis-Nirenberg problem
- Multiple positive solutions for a critical quasilinear equation via Morse theory
- Linking solutions for \(p\)-Laplace equations with nonlinearity at critical growth
- Positive solutions of the \(p\)-Laplacian involving a superlinear nonlinearity with zeros
- Regularity for a more general class of quasilinear equations
- On a superlinear elliptic \(p\)-Laplacian equation.
- Multiplicity of positive solutions to a \(p\)-Laplacian equation involving critical nonlinearity.
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Infinitely many solutions for some nonlinear elliptic problems in symmetrical domains
- A Picone's identity for the p-Laplacian and applications
- Nodal solutions of a p-Laplacian equation
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