A new variational principle, convexity, and supercritical Neumann problems
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Publication:4633612
DOI10.1090/tran/7250zbMath1421.35147arXiv1702.06034OpenAlexW2607104780MaRDI QIDQ4633612
Publication date: 3 May 2019
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1702.06034
Boundary value problems for second-order elliptic equations (35J25) Variational principles in infinite-dimensional spaces (58E30) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
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Cites Work
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- Multi-layer radial solutions for a supercritical Neumann problem
- On the Bonheure-Noris-Weth conjecture in the case of linearly bounded nonlinearities
- Multiple radial positive solutions of semilinear elliptic problems with Neumann boundary conditions
- Increasing radial solutions for Neumann problems without growth restrictions
- A \(p\)-Laplacian supercritical Neumann problem
- Layered solutions with unbounded mass for the Keller-Segel equation
- Non-convex self-dual Lagrangians: new variational principles of symmetric boundary value problems
- Multiple positive radial solutions on annuli for nonlinear Neumann problems with large growth
- Monotonicity constraints and supercritical Neumann problems
- A variational principle associated with a certain class of boundary-value problems
- On the boundary spike layer solutions to a singularly perturbed Neumann problem
- Supercritical elliptic problem with nonautonomous nonlinearities
- Minimax principles for lower semicontinuous functions and applications to nonlinear boundary value problems
- Multi-peak solutions for a semilinear Neumann problem involving the critical Sobolev exponent
- Elliptic partial differential equations of second order
- Super-critical boundary bubbling in a semilinear Neumann problem
- Multipeak solutions for a semilinear Neumann problem
- Multiple interior peak solutions for some singularly perturbed Neumann problems.
- Blowing up solutions for an elliptic Neumann problem with sub- or supercritical nonlinearity. I: \(N=3\)
- A class of solutions for the Neumann problem \(-\Delta u+ \lambda u= u^{(N+2)/ (N-2)}\)
- Increasing variational solutions for a nonlinear \(p\)-Laplace equation without growth conditions
- Multiple positive solutions of the stationary Keller-Segel system
- Supercritical elliptic problems on a perturbation of the ball
- Non-convex self-dual Lagrangians and new variational principles of symmetric boundary value problems: evolution case
- A note on the radial solutions for the supercritical Hénon equation
- Radial positive solutions of elliptic systems with Neumann boundary conditions
- Positive constrained minimizers for supercritical problems in the ball
- Radial positive solutions for Neumann problems without growth restrictions
- Estimates for boundary-bubbling solutions to an elliptic Neumann problem
- Regularity of Stable Solutions up to Dimension 7 in Domains of Double Revolution
