Bubbling nodal solutions for a large perturbation of the Moser–Trudinger equation on planar domains
Sign Up to like & getrecommendations! Published in 2019 at "Mathematische Annalen"
DOI: 10.1007/s00208-020-01975-w
Abstract: In this work we study the existence of nodal solutions for the problem $$\begin{aligned} -\Delta u = \lambda u e^{u^2+|u|^p} \quad \text { in }\quad \Omega ,\quad u = 0 \quad \text { on }\partial… read more here.
Keywords: moser trudinger; nodal solutions; solutions large; equation ... See more keywords
Nodal solutions for a fractional Choquard equation
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DOI: 10.1016/j.jmaa.2018.04.048
Abstract: Abstract In this paper, we study the existence of nodal solutions for the following fractional Choquard equation ( − △ ) α u + u = ∫ R N | u ( z ) |… read more here.
Keywords: choquard equation; fractional choquard; nodal solutions; solutions fractional ... See more keywords
Nodal solutions for pseudo-relativistic Hartree equations
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DOI: 10.1016/j.jmaa.2020.124474
Abstract: Abstract In this paper, we investigate the existence of nodal solutions for the following problem where 1 2 α 1 , 0 μ ≤ 2 and 2 N − μ N − 1 p 2… read more here.
Keywords: hartree equations; nodal solutions; relativistic hartree; pseudo relativistic ... See more keywords
Nodal solutions for Schrödinger-Poisson systems with concave-convex nonlinearities
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DOI: 10.1016/j.jmaa.2021.125006
Abstract: Abstract In this paper, we study the existence of nodal solutions for the Schrodinger-Poisson systems with concave-convex nonlinearities (0.1) { − Δ u + ϕ u = λ | u | p − 2 u… read more here.
Keywords: concave convex; systems concave; solutions schr; nodal solutions ... See more keywords
Multiple nodal solutions for Choquard type equations with an asymptotically linear term
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DOI: 10.1080/00036811.2025.2496284
Abstract: In this paper, we consider the following Choquard type equation with an asymptotically linear term (1) $$\begin{align} -\Delta u+u=\left(\int_{\mathbb{R}^N}\frac{|u(y)|^p}{|x-y|^{N-\alpha}}\,{\rm d}y\right)|u|^{p-2}u+f(u) \end{align}$$−Δu+u=(∫RN|u(y)|p|x−y|N−αdy)|u|p−2u+f(u) where $ N\geq 3, \alpha \in (N-4,N), p\in (2,\frac {N+\alpha }{N-2}) $ N≥3,α∈(N−4,N),p∈(2,N+αN−2) and… read more here.
Keywords: asymptotically linear; multiple nodal; linear term; nodal solutions ... See more keywords
Nodal solutions for Neumann systems with gradient dependence
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DOI: 10.1186/s13661-023-01814-2
Abstract: We consider the following convective Neumann systems: ( S ) { − Δ p 1 u 1 + | ∇ u 1 | p 1 u 1 + δ 1 = f 1 ( x… read more here.
Keywords: delta; neumann systems; vert; vert nabla ... See more keywords
Nodal solutions for the Robin p -Laplacian plus an indefinite potential and a general reaction term
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DOI: 10.3934/cpaa.2018014
Abstract: We consider a nonlinear Robin problem driven by the p -Laplacian plus an indefinite potential. The reaction term is of arbitrary growth and only conditions near zero are imposed. Using critical point theory together with… read more here.
Keywords: plus indefinite; laplacian plus; nodal solutions; reaction term ... See more keywords