Existence of sign-changing solutions for the \(p\)-Laplacian equation from linking type theorem
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Publication:1956507
DOI10.1007/s10114-010-7566-0zbMath1200.35165OpenAlexW2075696334MaRDI QIDQ1956507
Publication date: 22 September 2010
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-010-7566-0
Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62) Quasilinear elliptic equations with (p)-Laplacian (35J92)
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Homoclinic solutions in periodic nonlinear difference equations with superlinear nonlinearity ⋮ Critical exponent for the parabolic equation u \(t = \delta u ^m + h (t)u ^p\) in a cone
Cites Work
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- Some recent results in linking theory and applications
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- A priori estimates and continuation methods for positive solutions of \(p\)-Laplace equations.
- Multiple and sign changing solutions of an elliptic eigenvalue problem with constraint.
- Sign-changing saddle point
- On finding sign-changing solutions
- Sign-changing critical points from linking type theorems
- Ljusternik-Schnirelman theory in partially ordered Hilbert spaces
- Asymptotically linear Dirichlet problem for the \(p\)-Laplacian
- Remarks on multiple nontrivial solutions for quasi-linear resonant problems
- Invariant sets of descending flow in critical point theory with applications to nonlinear differential equations
- Critical point theory on partially ordered Hilbert spaces
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