On a class of p‐fractional Laplacian equations with potential depending on parameter
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6078
Abstract: We discuss the existence of solutions for a class of nonlinear equations driven by the fractional p‐Laplacian operator of the form (−Δ)psu+λsV(x,λ)|u|p−2u=f(x,u)inRN, where 0ps and λ is a positive parameter. By combining variational techniques with… read more here.
Keywords: class; equations potential; potential depending; class fractional ... See more keywords
Four Solutions for Fractional p-Laplacian Equations with Asymmetric Reactions
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DOI: 10.1007/s00009-021-01860-z
Abstract: We consider a Dirichlet type problem for a nonlinear, nonlocal equation driven by the degenerate fractional p -Laplacian, whose reaction combines a sublinear term depending on a positive parameter and an asymmetric perturbation (superlinear at… read more here.
Keywords: asymmetric reactions; solutions fractional; fractional laplacian; laplacian equations ... See more keywords
Boundary-value problems for singular p– and p(x)– Laplacian equations in a domain with conical point on the boundary
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DOI: 10.1007/s10958-021-05308-3
Abstract: This paper is a survey of our last results about solutions to the Dirichlet and Robin boundary problems, the Robin transmission problem for an elliptic quasilinear second-order equation with the constant p– and variable p(x)-Laplacians,… read more here.
Keywords: equations domain; singular laplacian; boundary value; problems singular ... See more keywords
Existence and blow-up rate of large solutions of p(x)-Laplacian equations with gradient terms
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DOI: 10.1016/j.jmaa.2017.08.038
Abstract: Abstract In this paper we investigate boundary blow-up solutions of the problem { − Δ p ( x ) u + f ( x , u ) = ± K ( x ) | ∇… read more here.
Keywords: solutions laplacian; laplacian equations; existence blow; rate large ... See more keywords
Dynamics for a class of non-autonomous degenerate p-Laplacian equations
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DOI: 10.1016/j.jmaa.2017.10.030
Abstract: Abstract In this paper, we investigate a class of non-autonomous degenerate p-Laplacian equations ∂ t u − div ( a ( x ) | ∇ u | p − 2 ∇ u ) + λ… read more here.
Keywords: autonomous degenerate; class non; class; non autonomous ... See more keywords